78=2(m-3)+m

Solution for 78=2(m-3)+m equation:

Simplifying
78 = 2(m + -3) + m

Reorder the terms:
78 = 2(-3 + m) + m
78 = (-3 * 2 + m * 2) + m
78 = (-6 + 2m) + m

Combine like terms: 2m + m = 3m
78 = -6 + 3m

Solving
78 = -6 + 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.
78 + -3m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
78 + -3m = -6 + 0
78 + -3m = -6

Add '-78' to each side of the equation.
78 + -78 + -3m = -6 + -78

Combine like terms: 78 + -78 = 0
0 + -3m = -6 + -78
-3m = -6 + -78

Combine like terms: -6 + -78 = -84
-3m = -84

Divide each side by '-3'.
m = 28

Simplifying
m = 28