Solve for j 3/4j-2=-8

$\frac{3}{4} j - 2 = - 8$

Combine $\frac{3}{4}$ and $j$ .

$\frac{3 j}{4} - 2 = - 8$

Move all terms not containing $j$ to the right side of the equation.

Add $2$ to both sides of the equation.

$\frac{3 j}{4} = - 8 + 2$

Add $- 8$ and $2$ .

$\frac{3 j}{4} = - 6$

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 j}{4} = \frac{4}{3} \cdot - 6$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} \cdot \frac{3 j}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 j}{4} = \frac{4}{3} \cdot - 6$

Rewrite the expression.

$\frac{1}{3} (3 j) = \frac{4}{3} \cdot - 6$

Cancel the common factor of $3$ .

Factor $3$ out of $3 j$ .

$\frac{1}{3} (3 (j)) = \frac{4}{3} \cdot - 6$

Cancel the common factor.

$\frac{1}{3} (3 j) = \frac{4}{3} \cdot - 6$

Rewrite the expression.

$j = \frac{4}{3} \cdot - 6$

Simplify the right side.

Simplify $\frac{4}{3} \cdot - 6$ .

Cancel the common factor of $3$ .

Factor $3$ out of $- 6$ .

$j = \frac{4}{3} \cdot (3 (- 2))$

Cancel the common factor.

$j = \frac{4}{3} \cdot (3 \cdot - 2)$

Rewrite the expression.

$j = 4 \cdot - 2$

Multiply $4$ by $- 2$ .

$j = - 8$