Distribute 4 inside parentheses: First, we need to distribute the 4 inside the parentheses on the right side of the equation. -6n - 20 = -2n + 4(1) - 4(3n)Simplify right side of equation: Now, we simplify the right side of the equation by multiplying the numbers. -6n - 20 = -2n + 4 - 12nCombine like terms: Next, we combine like terms on the right side of the equation. -6n - 20 = -2n - 12n + 4Add n terms: Now, we add the n terms on the right side. -6n - 20 = -14n + 4Move n terms to one side: Next, we want to get all the n terms on one side and the constants on the other side. We'll add 14n to both sides of the equation to move the n terms to the left side. -6n + 14n - 20 = -14n + 14n + 4Isolate term with n: Now, we simplify both sides of the equation. 8n - 20 = 4Simplify both sides: Next, we add 20 to both sides of the equation to isolate the term with n. 8n - 20 + 20 = 4 + 20Add 20 to both sides: Now, we simplify both sides of the equation. 8n = 24Divide both sides: Finally, we divide both sides by 8 to solve for n. 8n / 8 = 24 / 8Find value of n: We simplify the equation to find the value of n. n = 3

Algebra 2

Add, subtract, multiply, and divide polynomials

Full solution

-6n-20 = -2n+4(1-3n)

Distribute $4$ inside parentheses: First, we need to distribute the $4$ inside the parentheses on the right side of the equation. $-6n - 20 = -2n + 4(1) - 4(3n)$
Simplify right side of equation: Now, we simplify the right side of the equation by multiplying the numbers. $\newline$ $-6n - 20 = -2n + 4 - 12n$
Combine like terms: Next, we combine like terms on the right side of the equation. $\newline$ $-6n - 20 = -2n - 12n + 4$
Add $n$ terms: Now, we add the $n$ terms on the right side. $\newline$ $-6n - 20 = -14n + 4$
Move $n$ terms to one side: Next, we want to get all the $n$ terms on one side and the constants on the other side. We'll add $14n$ to both sides of the equation to move the $n$ terms to the left side. $\newline$ $-6n + 14n - 20 = -14n + 14n + 4$
Isolate term with $n$ : Now, we simplify both sides of the equation. $8n - 20 = 4$
Simplify both sides: Next, we add $20$ to both sides of the equation to isolate the term with $n$ . $\newline$ $8n - 20 + 20 = 4 + 20$
Add $20$ to both sides: Now, we simplify both sides of the equation. $\newline$ $8n = 24$
Divide both sides: Finally, we divide both sides by $8$ to solve for $n$ . $\newline$ $\frac{8n}{8} = \frac{24}{8}$
Find value of n: We simplify the equation to find the value of $n$ . $n = 3$