42=18m+4(m+5)

Solution for 42=18m+4(m+5) equation:

Simplifying
42 = 18m + 4(m + 5)

Reorder the terms:
42 = 18m + 4(5 + m)
42 = 18m + (5 * 4 + m * 4)
42 = 18m + (20 + 4m)

Reorder the terms:
42 = 20 + 18m + 4m

Combine like terms: 18m + 4m = 22m
42 = 20 + 22m

Solving
42 = 20 + 22m

Solving for variable 'm'.

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

Add '-22m' to each side of the equation.
42 + -22m = 20 + 22m + -22m

Combine like terms: 22m + -22m = 0
42 + -22m = 20 + 0
42 + -22m = 20

Add '-42' to each side of the equation.
42 + -42 + -22m = 20 + -42

Combine like terms: 42 + -42 = 0
0 + -22m = 20 + -42
-22m = 20 + -42

Combine like terms: 20 + -42 = -22
-22m = -22

Divide each side by '-22'.
m = 1

Simplifying
m = 1