0.02(4c-52)=-0.4(c-1)

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Solution for 0.02(4c-52)=-0.4(c-1) equation: 


Simplifying
0.02(4c + -52) = -0.4(c + -1)

Reorder the terms:
0.02(-52 + 4c) = -0.4(c + -1)
(-52 * 0.02 + 4c * 0.02) = -0.4(c + -1)
(-1.04 + 0.08c) = -0.4(c + -1)

Reorder the terms:
-1.04 + 0.08c = -0.4(-1 + c)
-1.04 + 0.08c = (-1 * -0.4 + c * -0.4)
-1.04 + 0.08c = (0.4 + -0.4c)

Solving
-1.04 + 0.08c = 0.4 + -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.
-1.04 + 0.08c + 0.4c = 0.4 + -0.4c + 0.4c

Combine like terms: 0.08c + 0.4c = 0.48c
-1.04 + 0.48c = 0.4 + -0.4c + 0.4c

Combine like terms: -0.4c + 0.4c = 0.0
-1.04 + 0.48c = 0.4 + 0.0
-1.04 + 0.48c = 0.4

Add '1.04' to each side of the equation.
-1.04 + 1.04 + 0.48c = 0.4 + 1.04

Combine like terms: -1.04 + 1.04 = 0.00
0.00 + 0.48c = 0.4 + 1.04
0.48c = 0.4 + 1.04

Combine like terms: 0.4 + 1.04 = 1.44
0.48c = 1.44

Divide each side by '0.48'.
c = 3

Simplifying
c = 3

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