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If 
2+7z=-z-4, what is the value of 
z ?
Choose 1 answer:
(A) 
z=-1
(B) 
z=-(3)/(4)
(c) 
z=-(1)/(3)
(D) 
z=-(1)/(4)

If 2+7z=z42+7z=-z-4, what is the value of zz?\newlineChoose 11 answer:\newline(A) z=1z=-1\newline(B) z=34z=-\frac{3}{4}\newline(C) z=13z=-\frac{1}{3}\newline(D) z=14z=-\frac{1}{4}

Full solution

Q. If 2+7z=z42+7z=-z-4, what is the value of zz?\newlineChoose 11 answer:\newline(A) z=1z=-1\newline(B) z=34z=-\frac{3}{4}\newline(C) z=13z=-\frac{1}{3}\newline(D) z=14z=-\frac{1}{4}
  1. Combine like terms: Write down the given equation and combine like terms.\newlineWe have the equation 2+7z=z42 + 7z = -z - 4.\newlineTo combine like terms, we need to get all the zz terms on one side and the constant terms on the other side.
  2. Move z terms to one side: Add zz to both sides of the equation to move the zz terms to one side.\newline2+7z+z=z4+z2 + 7z + z = -z - 4 + z\newlineThis simplifies to:\newline2+8z=42 + 8z = -4
  3. Move constant terms to other side: Subtract 22 from both sides of the equation to move the constant terms to the other side.\newline2+8z2=422 + 8z - 2 = -4 - 2\newlineThis simplifies to:\newline8z=68z = -6
  4. Solve for z: Divide both sides of the equation by 88 to solve for z.\newline8z8=68\frac{8z}{8} = \frac{-6}{8}\newlineThis simplifies to:\newlinez=68z = \frac{-6}{8}
  5. Simplify the fraction: Simplify the fraction 68-\frac{6}{8} to its lowest terms.\newline68-\frac{6}{8} can be simplified by dividing both the numerator and the denominator by 22.\newlinez=6/28/2z = \frac{-6 / 2}{8 / 2}\newlinez=34z = -\frac{3}{4}

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