Solve for n. Give an exact answer. {:[4n+2=6((1)/(3)n-(2)/(3))],[n=◻]:}

Distribute and Simplify: First, distribute the 6 on the right side. 4n + 2 = 6 * (1/3)n - 6 * (2/3) 4n + 2 = 2n - 4Combine Like Terms: Next, get all the n terms on one side by subtracting 2n from both sides. 4n - 2n + 2 = 2n - 2n - 4 2n + 2 = -4Isolate Variable: Now, isolate n by subtracting 2 from both sides. 2n + 2 - 2 = -4 - 2 2n = -6Solve for n: Finally, divide both sides by 2 to solve for n. 2n / 2 = -6 / 2 n = -3

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Solve for
n.
Give an exact answer.

{:[4n+2=6((1)/(3)n-(2)/(3))],[n=◻]:}

Solve for $n$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 4 n+2=6\left(\frac{1}{3} n-\frac{2}{3}\right) \\ n=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

n

\newline

Give an exact answer.

\newline

\begin{array}{l} 4 n+2=6\left(\frac{1}{3} n-\frac{2}{3}\right) \\ n=\square \end{array}

Distribute and Simplify: First, distribute the $6$ on the right side. 4n + 2 = 6 imes rac{1}{3}n - 6 imes rac{2}{3} $4n + 2 = 2n - 4$
Combine Like Terms: Next, get all the $n$ terms on one side by subtracting $2n$ from both sides. $4n - 2n + 2 = 2n - 2n - 4$ $2n + 2 = -4$
Isolate Variable: Now, isolate $n$ by subtracting $2$ from both sides. $2n + 2 - 2 = -4 - 2$ $2n = -6$
Solve for n: Finally, divide both sides by $2$ to solve for $n$ . $\frac{2n}{2} = \frac{-6}{2}$ $n = -3$