Solve for m 1/2m-3/4*8=16

$\frac{1}{2} m - \frac{3}{4} \cdot 8 = 16$

Simplify each term.

Combine $\frac{1}{2}$ and $m$ .

$\frac{m}{2} - \frac{3}{4} \cdot 8 = 16$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$\frac{m}{2} + \frac{- 3}{4} \cdot 8 = 16$

Factor $4$ out of $8$ .

$\frac{m}{2} + \frac{- 3}{4} \cdot (4 (2)) = 16$

Cancel the common factor.

$\frac{m}{2} + \frac{- 3}{4} \cdot (4 \cdot 2) = 16$

Rewrite the expression.

$\frac{m}{2} - 3 \cdot 2 = 16$

Multiply $- 3$ by $2$ .

$\frac{m}{2} - 6 = 16$

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

Add $6$ to both sides of the equation.

$\frac{m}{2} = 16 + 6$

Add $16$ and $6$ .

$\frac{m}{2} = 22$

Multiply both sides of the equation by $2$ .

$2 \frac{m}{2} = 2 \cdot 22$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{m}{2} = 2 \cdot 22$

Rewrite the expression.

$m = 2 \cdot 22$

Simplify the right side.

Multiply $2$ by $22$ .

$m = 44$