Simplify 3m^2-3/4(8m-12)+3m

$3 m^{2} - \frac{3}{4} (8 m - 12) + 3 m$

Simplify each term.

Apply the distributive property.

$3 m^{2} - \frac{3}{4} (8 m) - \frac{3}{4} \cdot - 12 + 3 m$

Cancel the common factor of $4$ .

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

$3 m^{2} + \frac{- 3}{4} (8 m) - \frac{3}{4} \cdot - 12 + 3 m$

Factor $4$ out of $8 m$ .

$3 m^{2} + \frac{- 3}{4} (4 (2 m)) - \frac{3}{4} \cdot - 12 + 3 m$

Cancel the common factor.

$3 m^{2} + \frac{- 3}{4} (4 (2 m)) - \frac{3}{4} \cdot - 12 + 3 m$

Rewrite the expression.

$3 m^{2} - 3 (2 m) - \frac{3}{4} \cdot - 12 + 3 m$

Multiply $2$ by $- 3$ .

$3 m^{2} - 6 m - \frac{3}{4} \cdot - 12 + 3 m$

Cancel the common factor of $4$ .

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

$3 m^{2} - 6 m + \frac{- 3}{4} \cdot - 12 + 3 m$

Factor $4$ out of $- 12$ .

$3 m^{2} - 6 m + \frac{- 3}{4} \cdot (4 (- 3)) + 3 m$

Cancel the common factor.

$3 m^{2} - 6 m + \frac{- 3}{4} \cdot (4 \cdot - 3) + 3 m$

Rewrite the expression.

$3 m^{2} - 6 m - 3 \cdot - 3 + 3 m$

Multiply $- 3$ by $- 3$ .

$3 m^{2} - 6 m + 9 + 3 m$

Add $- 6 m$ and $3 m$ .

$3 m^{2} - 3 m + 9$