Solve 2-{2m+[2m-(2-2m)]}=2

$$2 - \{ 2 m + [ 2 m - ( 2 - 2 m ) ] \} = 2$$

Solve for m

$$m=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Combine 2m and 2m to get 4m.

$$2-\left(4m-\left(2-2m\right)\right)=2$$

To find the opposite of 2-2m, find the opposite of each term.

$$2-\left(4m-2-\left(-2m\right)\right)=2$$

The opposite of -2m is 2m.

$$2-\left(4m-2+2m\right)=2$$

Combine 4m and 2m to get 6m.

$$2-\left(6m-2\right)=2$$

To find the opposite of 6m-2, find the opposite of each term.

$$2-6m-\left(-2\right)=2$$

The opposite of -2 is 2.

$$2-6m+2=2$$

Add 2 and 2 to get 4.

$$4-6m=2$$

Subtract 4 from both sides.

$$-6m=2-4$$

Subtract 4 from 2 to get -2.

$$-6m=-2$$

Divide both sides by -6.

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

Reduce the fraction \frac{-2}{-6} to lowest terms by extracting and canceling out -2.

$$m=\frac{1}{3}$$