42=4m+2(1+3m)

Solution for 42=4m+2(1+3m) equation:

Simplifying
42 = 4m + 2(1 + 3m)
42 = 4m + (1 * 2 + 3m * 2)
42 = 4m + (2 + 6m)

Reorder the terms:
42 = 2 + 4m + 6m

Combine like terms: 4m + 6m = 10m
42 = 2 + 10m

Solving
42 = 2 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
42 + -10m = 2 + 10m + -10m

Combine like terms: 10m + -10m = 0
42 + -10m = 2 + 0
42 + -10m = 2

Add '-42' to each side of the equation.
42 + -42 + -10m = 2 + -42

Combine like terms: 42 + -42 = 0
0 + -10m = 2 + -42
-10m = 2 + -42

Combine like terms: 2 + -42 = -40
-10m = -40

Divide each side by '-10'.
m = 4

Simplifying
m = 4