6m-2(m-3)=34

Solution for 6m-2(m-3)=34 equation:

Simplifying
6m + -2(m + -3) = 34

Reorder the terms:
6m + -2(-3 + m) = 34
6m + (-3 * -2 + m * -2) = 34
6m + (6 + -2m) = 34

Reorder the terms:
6 + 6m + -2m = 34

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

Solving
6 + 4m = 34

Solving for variable 'm'.

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

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

Combine like terms: 6 + -6 = 0
0 + 4m = 34 + -6
4m = 34 + -6

Combine like terms: 34 + -6 = 28
4m = 28

Divide each side by '4'.
m = 7

Simplifying
m = 7