Solve for j 3/8j=6

$\frac{3}{8} j = 6$

Multiply both sides of the equation by $\frac{8}{3}$ .

$\frac{8}{3} (\frac{3}{8} j) = \frac{8}{3} \cdot 6$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{8}{3} (\frac{3}{8} j)$ .

Combine $\frac{3}{8}$ and $j$ .

$\frac{8}{3} \cdot \frac{3 j}{8} = \frac{8}{3} \cdot 6$

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8}{3} \cdot \frac{3 j}{8} = \frac{8}{3} \cdot 6$

Rewrite the expression.

$\frac{1}{3} (3 j) = \frac{8}{3} \cdot 6$

Cancel the common factor of $3$ .

Factor $3$ out of $3 j$ .

$\frac{1}{3} (3 (j)) = \frac{8}{3} \cdot 6$

Cancel the common factor.

$\frac{1}{3} (3 j) = \frac{8}{3} \cdot 6$

Rewrite the expression.

$j = \frac{8}{3} \cdot 6$

Simplify the right side.

Simplify $\frac{8}{3} \cdot 6$ .

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$j = \frac{8}{3} \cdot (3 (2))$

Cancel the common factor.

$j = \frac{8}{3} \cdot (3 \cdot 2)$

Rewrite the expression.

$j = 8 \cdot 2$

Multiply $8$ by $2$ .

$j = 16$