Solve 4n+2=6(1/3n-2/3)

$$4 n + 2 = 6 ( \frac { 1 } { 3 } n - \frac { 2 } { 3 } )$$

Solve for n

$$n=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by \frac{1}{3}n-\frac{2}{3}.

$$4n+2=6\times \frac{1}{3}n+6\left(-\frac{2}{3}\right)$$

Multiply 6 and \frac{1}{3} to get \frac{6}{3}.

$$4n+2=\frac{6}{3}n+6\left(-\frac{2}{3}\right)$$

Divide 6 by 3 to get 2.

$$4n+2=2n+6\left(-\frac{2}{3}\right)$$

Express 6\left(-\frac{2}{3}\right) as a single fraction.

$$4n+2=2n+\frac{6\left(-2\right)}{3}$$

Multiply 6 and -2 to get -12.

$$4n+2=2n+\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$4n+2=2n-4$$

Subtract 2n from both sides.

$$4n+2-2n=-4$$

Combine 4n and -2n to get 2n.

$$2n+2=-4$$

Subtract 2 from both sides.

$$2n=-4-2$$

Subtract 2 from -4 to get -6.

$$2n=-6$$

Divide both sides by 2.

$$n=\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$n=-3$$