.2(4m-16)=.5m+4.6

Solution for .2(4m-16)=.5m+4.6 equation:

Simplifying
0.2(4m + -16) = 0.5m + 4.6

Reorder the terms:
0.2(-16 + 4m) = 0.5m + 4.6
(-16 * 0.2 + 4m * 0.2) = 0.5m + 4.6
(-3.2 + 0.8m) = 0.5m + 4.6

Reorder the terms:
-3.2 + 0.8m = 4.6 + 0.5m

Solving
-3.2 + 0.8m = 4.6 + 0.5m

Solving for variable 'm'.

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

Add '-0.5m' to each side of the equation.
-3.2 + 0.8m + -0.5m = 4.6 + 0.5m + -0.5m

Combine like terms: 0.8m + -0.5m = 0.3m
-3.2 + 0.3m = 4.6 + 0.5m + -0.5m

Combine like terms: 0.5m + -0.5m = 0.0
-3.2 + 0.3m = 4.6 + 0.0
-3.2 + 0.3m = 4.6

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 0.3m = 4.6 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 0.3m = 4.6 + 3.2
0.3m = 4.6 + 3.2

Combine like terms: 4.6 + 3.2 = 7.8
0.3m = 7.8

Divide each side by '0.3'.
m = 26

Simplifying
m = 26