0.04(4c-32)=-0.8(c-2)

Solution for 0.04(4c-32)=-0.8(c-2) equation:

Simplifying
0.04(4c + -32) = -0.8(c + -2)

Reorder the terms:
0.04(-32 + 4c) = -0.8(c + -2)
(-32 * 0.04 + 4c * 0.04) = -0.8(c + -2)
(-1.28 + 0.16c) = -0.8(c + -2)

Reorder the terms:
-1.28 + 0.16c = -0.8(-2 + c)
-1.28 + 0.16c = (-2 * -0.8 + c * -0.8)
-1.28 + 0.16c = (1.6 + -0.8c)

Solving
-1.28 + 0.16c = 1.6 + -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.
-1.28 + 0.16c + 0.8c = 1.6 + -0.8c + 0.8c

Combine like terms: 0.16c + 0.8c = 0.96c
-1.28 + 0.96c = 1.6 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-1.28 + 0.96c = 1.6 + 0.0
-1.28 + 0.96c = 1.6

Add '1.28' to each side of the equation.
-1.28 + 1.28 + 0.96c = 1.6 + 1.28

Combine like terms: -1.28 + 1.28 = 0.00
0.00 + 0.96c = 1.6 + 1.28
0.96c = 1.6 + 1.28

Combine like terms: 1.6 + 1.28 = 2.88
0.96c = 2.88

Divide each side by '0.96'.
c = 3

Simplifying
c = 3