8m-6+8(m+2)=8m+42

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

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

Reorder the terms:
8m + -6 + 8(2 + m) = 8m + 42
8m + -6 + (2 * 8 + m * 8) = 8m + 42
8m + -6 + (16 + 8m) = 8m + 42

Reorder the terms:
-6 + 16 + 8m + 8m = 8m + 42

Combine like terms: -6 + 16 = 10
10 + 8m + 8m = 8m + 42

Combine like terms: 8m + 8m = 16m
10 + 16m = 8m + 42

Reorder the terms:
10 + 16m = 42 + 8m

Solving
10 + 16m = 42 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
10 + 16m + -8m = 42 + 8m + -8m

Combine like terms: 16m + -8m = 8m
10 + 8m = 42 + 8m + -8m

Combine like terms: 8m + -8m = 0
10 + 8m = 42 + 0
10 + 8m = 42

Add '-10' to each side of the equation.
10 + -10 + 8m = 42 + -10

Combine like terms: 10 + -10 = 0
0 + 8m = 42 + -10
8m = 42 + -10

Combine like terms: 42 + -10 = 32
8m = 32

Divide each side by '8'.
m = 4

Simplifying
m = 4