-42+6=-2(2m-3)

Solution for -42+6=-2(2m-3) equation:

Simplifying
-42 + 6 = -2(2m + -3)

Combine like terms: -42 + 6 = -36
-36 = -2(2m + -3)

Reorder the terms:
-36 = -2(-3 + 2m)
-36 = (-3 * -2 + 2m * -2)
-36 = (6 + -4m)

Solving
-36 = 6 + -4m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4m' to each side of the equation.
-36 + 4m = 6 + -4m + 4m

Combine like terms: -4m + 4m = 0
-36 + 4m = 6 + 0
-36 + 4m = 6

Add '36' to each side of the equation.
-36 + 36 + 4m = 6 + 36

Combine like terms: -36 + 36 = 0
0 + 4m = 6 + 36
4m = 6 + 36

Combine like terms: 6 + 36 = 42
4m = 42

Divide each side by '4'.
m = 10.5

Simplifying
m = 10.5