Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Expand and simplify -4n+5{3(-2n+7)+8(n-3)}

Expand and simplify −4n+5{3(−2n+7)+8(n−3)} -4 n+5\{3(-2 n+7)+8(n-3)\}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Simplify variable expressions using propertiesright chevron icon

Full solution

Q. Expand and simplify −4n+5{3(−2n+7)+8(n−3)} -4 n+5\{3(-2 n+7)+8(n-3)\}
  1. Distribute 55 into terms: First, distribute the 55 into the terms inside the curly brackets.\newlineCalculation: 5×3(−2n+7)+5×8(n−3)5 \times 3(-2n + 7) + 5 \times 8(n - 3)\newlineMath error check:
  2. Distribute 33 and 88: Now, distribute the 33 and the 88 within their respective parentheses.\newlineCalculation: 5×(−6n+21)+5×(8n−24)5 \times (-6n + 21) + 5 \times (8n - 24)\newlineMath error check:
  3. Distribute 55 into each term: Next, distribute the 55 into each term from the previous step.\newlineCalculation: 5×−6n+5×21+5×8n−5×245 \times -6n + 5 \times 21 + 5 \times 8n - 5 \times 24\newlineMath error check:
  4. Perform multiplication for each term: Perform the multiplication for each term.\newlineCalculation: −30n+105+40n−120-30n + 105 + 40n - 120\newlineMath error check:
  5. Combine like terms: Combine like terms, which are the 'nn' terms and the constant terms.\newlineCalculation: (−30n+40n)+(105−120)(-30n + 40n) + (105 - 120)\newlineMath error check:
  6. Simplify terms: Simplify the terms by adding and subtracting.\newlineCalculation: 10n−1510n - 15\newlineMath error check:
  7. Include initial term: Finally, include the initial term −4n-4n that was outside the brackets to the simplified expression.\newlineCalculation: −4n+(10n−15)-4n + (10n - 15)\newlineMath error check:
  8. Combine 'n' terms: Combine the 'n' terms from the final expression.\newlineCalculation: −4n+10n−15-4n + 10n - 15\newlineMath error check:
  9. Simplify 'n' terms: Simplify the 'n' terms by adding them together.\newlineCalculation: 6n−156n - 15\newlineMath error check:

More problems from Simplify variable expressions using properties

Question
Combine the like terms to create an equivalent expression:\newline2s+(−4s)=02s+(-4s)=\boxed{\phantom{0}}
Get tutor helpright-arrow

Posted 9 months ago

Question
Combine the like terms to create an equivalent expression:\newline−4p+(−6p)=□-4p+(-6p)=\square
Get tutor helpright-arrow

Posted 10 months ago

Question
Combine the like terms to create an equivalent expression:\newline4z−(−3z)=□4z-(-3z)=\square
Get tutor helpright-arrow

Posted 10 months ago

Question
Combine the like terms to create an equivalent expression:\newliner+(−5r)=0r+(-5r)=\boxed{\phantom{0}}
Get tutor helpright-arrow

Posted 9 months ago

Question
Combine the like terms to create an equivalent expression:\newline−4p+(−2)+2p+3=-4p+(-2)+2p+3=
Get tutor helpright-arrow

Posted 10 months ago

Question
Rewrite the expression in the form k⋅zn k \cdot z^{n} .\newlineWrite the exponent as an integer, fraction, or an exact decimal (not a mixed number).\newline3z4⋅3z34= 3 \sqrt[4]{z} \cdot 3 z^{\frac{3}{4}}=
Get tutor helpright-arrow

Posted 9 months ago

Question
Let y=3x y=3^{x} .\newlineFind d2ydx2 \frac{d^{2} y}{d x^{2}} \newlined2ydx2= \frac{d^{2} y}{d x^{2}}=
Get tutor helpright-arrow

Posted 8 months ago

Question
Let y=4x2+3x2x−7 y=\frac{4 x^{2}+3 x}{2 x-7} .\newlinedydx= \frac{d y}{d x}=
Get tutor helpright-arrow

Posted 8 months ago

Question
ddx(excos⁡(x))= \frac{d}{d x}\left(\frac{e^{x}}{\cos (x)}\right)=
Get tutor helpright-arrow

Posted 5 months ago

Question
Let f(x)=1x2 f(x)=\frac{1}{x^{2}} .\newlinef′(5)= f^{\prime}(5)=
Get tutor helpright-arrow

Posted 8 months ago

View all (237)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant