78=-2(m+3)+6

Solution for 78=-2(m+3)+6 equation:

Simplifying
78 = -2(m + 3) + 6

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

Reorder the terms:
78 = -6 + 6 + -2m

Combine like terms: -6 + 6 = 0
78 = 0 + -2m
78 = -2m

Solving
78 = -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
78 + 2m = -2m + 2m

Combine like terms: -2m + 2m = 0
78 + 2m = 0

Add '-78' to each side of the equation.
78 + -78 + 2m = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 2m = 0 + -78
2m = 0 + -78

Combine like terms: 0 + -78 = -78
2m = -78

Divide each side by '2'.
m = -39

Simplifying
m = -39