.1(2m-16)=.3(2m+4)

Solution for .1(2m-16)=.3(2m+4) equation:

Simplifying
0.1(2m + -16) = 0.3(2m + 4)

Reorder the terms:
0.1(-16 + 2m) = 0.3(2m + 4)
(-16 * 0.1 + 2m * 0.1) = 0.3(2m + 4)
(-1.6 + 0.2m) = 0.3(2m + 4)

Reorder the terms:
-1.6 + 0.2m = 0.3(4 + 2m)
-1.6 + 0.2m = (4 * 0.3 + 2m * 0.3)
-1.6 + 0.2m = (1.2 + 0.6m)

Solving
-1.6 + 0.2m = 1.2 + 0.6m

Solving for variable 'm'.

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

Add '-0.6m' to each side of the equation.
-1.6 + 0.2m + -0.6m = 1.2 + 0.6m + -0.6m

Combine like terms: 0.2m + -0.6m = -0.4m
-1.6 + -0.4m = 1.2 + 0.6m + -0.6m

Combine like terms: 0.6m + -0.6m = 0.0
-1.6 + -0.4m = 1.2 + 0.0
-1.6 + -0.4m = 1.2

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.4m = 1.2 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.4m = 1.2 + 1.6
-0.4m = 1.2 + 1.6

Combine like terms: 1.2 + 1.6 = 2.8
-0.4m = 2.8

Divide each side by '-0.4'.
m = -7

Simplifying
m = -7