Solve -3(12-m)=-1(m-8)

$$- 3 ( 12 - m ) = - 1 ( m - 8 )$$

Solve for m

$$m=11$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 12-m.

$$-36+3m=-\left(m-8\right)$$

To find the opposite of m-8, find the opposite of each term.

$$-36+3m=-m-\left(-8\right)$$

The opposite of -8 is 8.

$$-36+3m=-m+8$$

Add m to both sides.

$$-36+3m+m=8$$

Combine 3m and m to get 4m.

$$-36+4m=8$$

Add 36 to both sides.

$$4m=8+36$$

Add 8 and 36 to get 44.

$$4m=44$$

Divide both sides by 4.

$$m=\frac{44}{4}$$

Divide 44 by 4 to get 11.

$$m=11$$