0.4(4c-84)=33.6

Solution for 0.4(4c-84)=33.6 equation:

Simplifying
0.4(4c + -84) = 33.6

Reorder the terms:
0.4(-84 + 4c) = 33.6
(-84 * 0.4 + 4c * 0.4) = 33.6
(-33.6 + 1.6c) = 33.6

Solving
-33.6 + 1.6c = 33.6

Solving for variable 'c'.

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

Add '33.6' to each side of the equation.
-33.6 + 33.6 + 1.6c = 33.6 + 33.6

Combine like terms: -33.6 + 33.6 = 0.0
0.0 + 1.6c = 33.6 + 33.6
1.6c = 33.6 + 33.6

Combine like terms: 33.6 + 33.6 = 67.2
1.6c = 67.2

Divide each side by '1.6'.
c = 42

Simplifying
c = 42