6(2m-4)-7(m-8)=42

Solution for 6(2m-4)-7(m-8)=42 equation:

Simplifying
6(2m + -4) + -7(m + -8) = 42

Reorder the terms:
6(-4 + 2m) + -7(m + -8) = 42
(-4 * 6 + 2m * 6) + -7(m + -8) = 42
(-24 + 12m) + -7(m + -8) = 42

Reorder the terms:
-24 + 12m + -7(-8 + m) = 42
-24 + 12m + (-8 * -7 + m * -7) = 42
-24 + 12m + (56 + -7m) = 42

Reorder the terms:
-24 + 56 + 12m + -7m = 42

Combine like terms: -24 + 56 = 32
32 + 12m + -7m = 42

Combine like terms: 12m + -7m = 5m
32 + 5m = 42

Solving
32 + 5m = 42

Solving for variable 'm'.

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

Add '-32' to each side of the equation.
32 + -32 + 5m = 42 + -32

Combine like terms: 32 + -32 = 0
0 + 5m = 42 + -32
5m = 42 + -32

Combine like terms: 42 + -32 = 10
5m = 10

Divide each side by '5'.
m = 2

Simplifying
m = 2