6m-34=4m+42

Solution for 6m-34=4m+42 equation:

Simplifying
6m + -34 = 4m + 42

Reorder the terms:
-34 + 6m = 4m + 42

Reorder the terms:
-34 + 6m = 42 + 4m

Solving
-34 + 6m = 42 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-34 + 6m + -4m = 42 + 4m + -4m

Combine like terms: 6m + -4m = 2m
-34 + 2m = 42 + 4m + -4m

Combine like terms: 4m + -4m = 0
-34 + 2m = 42 + 0
-34 + 2m = 42

Add '34' to each side of the equation.
-34 + 34 + 2m = 42 + 34

Combine like terms: -34 + 34 = 0
0 + 2m = 42 + 34
2m = 42 + 34

Combine like terms: 42 + 34 = 76
2m = 76

Divide each side by '2'.
m = 38

Simplifying
m = 38