Solve -(-22+4m)+2=-3(-4m+12)-6m

$$- ( - 22 + 4 m ) + 2 = - 3 ( - 4 m + 12 ) - 6 m$$

Solve for m

$$m=6$$

Steps for Solving Linear Equation

To find the opposite of -22+4m, find the opposite of each term.

$$-\left(-22\right)-4m+2=-3\left(-4m+12\right)-6m$$

The opposite of -22 is 22.

$$22-4m+2=-3\left(-4m+12\right)-6m$$

Add 22 and 2 to get 24.

$$24-4m=-3\left(-4m+12\right)-6m$$

Use the distributive property to multiply -3 by -4m+12.

$$24-4m=12m-36-6m$$

Combine 12m and -6m to get 6m.

$$24-4m=6m-36$$

Subtract 6m from both sides.

$$24-4m-6m=-36$$

Combine -4m and -6m to get -10m.

$$24-10m=-36$$

Subtract 24 from both sides.

$$-10m=-36-24$$

Subtract 24 from -36 to get -60.

$$-10m=-60$$

Divide both sides by -10.

$$m=\frac{-60}{-10}$$

Divide -60 by -10 to get 6.

$$m=6$$