78=.2(m+3)+m

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

Simplifying
78 = 0.2(m + 3) + m

Reorder the terms:
78 = 0.2(3 + m) + m
78 = (3 * 0.2 + m * 0.2) + m
78 = (0.6 + 0.2m) + m

Combine like terms: 0.2m + m = 1.2m
78 = 0.6 + 1.2m

Solving
78 = 0.6 + 1.2m

Solving for variable 'm'.

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

Add '-1.2m' to each side of the equation.
78 + -1.2m = 0.6 + 1.2m + -1.2m

Combine like terms: 1.2m + -1.2m = 0.0
78 + -1.2m = 0.6 + 0.0
78 + -1.2m = 0.6

Add '-78' to each side of the equation.
78 + -78 + -1.2m = 0.6 + -78

Combine like terms: 78 + -78 = 0
0 + -1.2m = 0.6 + -78
-1.2m = 0.6 + -78

Combine like terms: 0.6 + -78 = -77.4
-1.2m = -77.4

Divide each side by '-1.2'.
m = 64.5

Simplifying
m = 64.5