0.3(8c-84)=75.6

Solution for 0.3(8c-84)=75.6 equation:

Simplifying
0.3(8c + -84) = 75.6

Reorder the terms:
0.3(-84 + 8c) = 75.6
(-84 * 0.3 + 8c * 0.3) = 75.6
(-25.2 + 2.4c) = 75.6

Solving
-25.2 + 2.4c = 75.6

Solving for variable 'c'.

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

Add '25.2' to each side of the equation.
-25.2 + 25.2 + 2.4c = 75.6 + 25.2

Combine like terms: -25.2 + 25.2 = 0.0
0.0 + 2.4c = 75.6 + 25.2
2.4c = 75.6 + 25.2

Combine like terms: 75.6 + 25.2 = 100.8
2.4c = 100.8

Divide each side by '2.4'.
c = 42

Simplifying
c = 42