0.04(4c-88)=-0.8(c-4)

Solution for 0.04(4c-88)=-0.8(c-4) equation:

Simplifying
0.04(4c + -88) = -0.8(c + -4)

Reorder the terms:
0.04(-88 + 4c) = -0.8(c + -4)
(-88 * 0.04 + 4c * 0.04) = -0.8(c + -4)
(-3.52 + 0.16c) = -0.8(c + -4)

Reorder the terms:
-3.52 + 0.16c = -0.8(-4 + c)
-3.52 + 0.16c = (-4 * -0.8 + c * -0.8)
-3.52 + 0.16c = (3.2 + -0.8c)

Solving
-3.52 + 0.16c = 3.2 + -0.8c

Solving for variable 'c'.

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

Add '0.8c' to each side of the equation.
-3.52 + 0.16c + 0.8c = 3.2 + -0.8c + 0.8c

Combine like terms: 0.16c + 0.8c = 0.96c
-3.52 + 0.96c = 3.2 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-3.52 + 0.96c = 3.2 + 0.0
-3.52 + 0.96c = 3.2

Add '3.52' to each side of the equation.
-3.52 + 3.52 + 0.96c = 3.2 + 3.52

Combine like terms: -3.52 + 3.52 = 0.00
0.00 + 0.96c = 3.2 + 3.52
0.96c = 3.2 + 3.52

Combine like terms: 3.2 + 3.52 = 6.72
0.96c = 6.72

Divide each side by '0.96'.
c = 7

Simplifying
c = 7