7m-6=42+3m

Solution for 7m-6=42+3m equation:

Simplifying
7m + -6 = 42 + 3m

Reorder the terms:
-6 + 7m = 42 + 3m

Solving
-6 + 7m = 42 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-6 + 7m + -3m = 42 + 3m + -3m

Combine like terms: 7m + -3m = 4m
-6 + 4m = 42 + 3m + -3m

Combine like terms: 3m + -3m = 0
-6 + 4m = 42 + 0
-6 + 4m = 42

Add '6' to each side of the equation.
-6 + 6 + 4m = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 4m = 42 + 6
4m = 42 + 6

Combine like terms: 42 + 6 = 48
4m = 48

Divide each side by '4'.
m = 12

Simplifying
m = 12