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

Distribute the 6: Distribute the 6 on the right side of the equation to both terms inside the parentheses. 6 * (1/3)n - 6 * (2/3) = 2n - 4Rewrite the equation: Rewrite the equation with the distributed terms. 4n + 2 = 2n - 4Subtract 2n: Subtract 2n from both sides to get all n terms on one side. 4n - 2n + 2 = 2n - 2n - 4 2n + 2 = -4Subtract 2: Subtract 2 from both sides to isolate the term with n. 2n + 2 - 2 = -4 - 2 2n = -6Divide both sides: 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

Full solution

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 the $6$ : Distribute the $6$ on the right side of the equation to both terms inside the parentheses. $\newline$ 6 \times (\frac{1}{3})n - 6 \times (\frac{2}{3})$\newline= 2n - 4$
Rewrite the equation: Rewrite the equation with the distributed terms. $4n + 2 = 2n - 4$
Subtract $2n$ : Subtract $2n$ from both sides to get all $n$ terms on one side. $\newline$ $4n - 2n + 2 = 2n - 2n - 4$ $\newline$ $2n + 2 = -4$
Subtract $2$ : Subtract $2$ from both sides to isolate the term with $n$ . $\newline$ $2n + 2 - 2 = -4 - 2$ $\newline$ $2n = -6$
Divide both sides: Divide both sides by $2$ to solve for $n$ . $\newline$ $\frac{2n}{2} = \frac{-6}{2}$ $\newline$ $n = -3$