0.2(6c-84)=33.6

Solution for 0.2(6c-84)=33.6 equation:

Simplifying
0.2(6c + -84) = 33.6

Reorder the terms:
0.2(-84 + 6c) = 33.6
(-84 * 0.2 + 6c * 0.2) = 33.6
(-16.8 + 1.2c) = 33.6

Solving
-16.8 + 1.2c = 33.6

Solving for variable 'c'.

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

Add '16.8' to each side of the equation.
-16.8 + 16.8 + 1.2c = 33.6 + 16.8

Combine like terms: -16.8 + 16.8 = 0.0
0.0 + 1.2c = 33.6 + 16.8
1.2c = 33.6 + 16.8

Combine like terms: 33.6 + 16.8 = 50.4
1.2c = 50.4

Divide each side by '1.2'.
c = 42

Simplifying
c = 42