Solve for n. {:[-4n-8=4(-3n+2)],[n=◻]:}

Simplify using distributive property: Simplify the right side of the equation using the distributive property. 4(-3n + 2) = 4(-3n) + 4(2) = -12n + 8Rewrite equation with simplified right side: Now, rewrite the equation with the simplified right side. -4n - 8 = -12n + 8Isolate variable n by adding 12n: To isolate the variable n, we need to get all the n terms on one side and the constant terms on the other side. Let's add 12n to both sides of the equation. -4n + 12n - 8 = -12n + 12n + 8 8n - 8 = 8Isolate term with n by adding 8: Next, add 8 to both sides to isolate the term with n. 8n - 8 + 8 = 8 + 8 8n = 16Solve for n by dividing both sides: Finally, divide both sides by 8 to solve for n. 8n / 8 = 16 / 8 n = 2

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Solve for
n.

{:[-4n-8=4(-3n+2)],[n=◻]:}

Solve for $n$ . $\newline$ $\begin{array}{l} -4 n-8=4(-3 n+2) \\ n=\square \end{array}$

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

n

\newline

\begin{array}{l} -4 n-8=4(-3 n+2) \\ n=\square \end{array}

Simplify using distributive property: Simplify the right side of the equation using the distributive property. $\newline$ $4(-3n + 2)$ $\newline$ = $4(-3n) + 4(2)$ $\newline$ = $-12n + 8$
Rewrite equation with simplified right side: Now, rewrite the equation with the simplified right side. $\newline$ $-4n - 8 = -12n + 8$
Isolate variable n by adding $12$ n: To isolate the variable n, we need to get all the n terms on one side and the constant terms on the other side. Let's add $12n$ to both sides of the equation. $\newline$ $-4n + 12n - 8 = -12n + 12n + 8$ $\newline$ $8n - 8 = 8$
Isolate term with $n$ by adding $8$ : Next, add $8$ to both sides to isolate the term with $n$ .
$8n - 8 + 8 = 8 + 8$
$8n = 16$
Solve for n by dividing both sides: Finally, divide both sides by $8$ to solve for $n$ . $\newline$ $\frac{8n}{8} = \frac{16}{8}$ $\newline$ $n = 2$