0.02(4c-40)=-0.4(c-4)

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Solution for 0.02(4c-40)=-0.4(c-4) equation: 


Simplifying
0.02(4c + -40) = -0.4(c + -4)

Reorder the terms:
0.02(-40 + 4c) = -0.4(c + -4)
(-40 * 0.02 + 4c * 0.02) = -0.4(c + -4)
(-0.8 + 0.08c) = -0.4(c + -4)

Reorder the terms:
-0.8 + 0.08c = -0.4(-4 + c)
-0.8 + 0.08c = (-4 * -0.4 + c * -0.4)
-0.8 + 0.08c = (1.6 + -0.4c)

Solving
-0.8 + 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.
-0.8 + 0.08c + 0.4c = 1.6 + -0.4c + 0.4c

Combine like terms: 0.08c + 0.4c = 0.48c
-0.8 + 0.48c = 1.6 + -0.4c + 0.4c

Combine like terms: -0.4c + 0.4c = 0.0
-0.8 + 0.48c = 1.6 + 0.0
-0.8 + 0.48c = 1.6

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.48c = 1.6 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.48c = 1.6 + 0.8
0.48c = 1.6 + 0.8

Combine like terms: 1.6 + 0.8 = 2.4
0.48c = 2.4

Divide each side by '0.48'.
c = 5

Simplifying
c = 5

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