.02(4c-64)=0.4(c-4)

Solution for .02(4c-64)=0.4(c-4) equation:

Simplifying
0.02(4c + -64) = 0.4(c + -4)

Reorder the terms:
0.02(-64 + 4c) = 0.4(c + -4)
(-64 * 0.02 + 4c * 0.02) = 0.4(c + -4)
(-1.28 + 0.08c) = 0.4(c + -4)

Reorder the terms:
-1.28 + 0.08c = 0.4(-4 + c)
-1.28 + 0.08c = (-4 * 0.4 + c * 0.4)
-1.28 + 0.08c = (-1.6 + 0.4c)

Solving
-1.28 + 0.08c = -1.6 + 0.4c

Solving for variable 'c'.

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

Add '-0.4c' to each side of the equation.
-1.28 + 0.08c + -0.4c = -1.6 + 0.4c + -0.4c

Combine like terms: 0.08c + -0.4c = -0.32c
-1.28 + -0.32c = -1.6 + 0.4c + -0.4c

Combine like terms: 0.4c + -0.4c = 0.0
-1.28 + -0.32c = -1.6 + 0.0
-1.28 + -0.32c = -1.6

Add '1.28' to each side of the equation.
-1.28 + 1.28 + -0.32c = -1.6 + 1.28

Combine like terms: -1.28 + 1.28 = 0.00
0.00 + -0.32c = -1.6 + 1.28
-0.32c = -1.6 + 1.28

Combine like terms: -1.6 + 1.28 = -0.32
-0.32c = -0.32

Divide each side by '-0.32'.
c = 1

Simplifying
c = 1