0.04(4c-52)=-0.8(c-7)

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Solution for 0.04(4c-52)=-0.8(c-7) equation: 


Simplifying
0.04(4c + -52) = -0.8(c + -7)

Reorder the terms:
0.04(-52 + 4c) = -0.8(c + -7)
(-52 * 0.04 + 4c * 0.04) = -0.8(c + -7)
(-2.08 + 0.16c) = -0.8(c + -7)

Reorder the terms:
-2.08 + 0.16c = -0.8(-7 + c)
-2.08 + 0.16c = (-7 * -0.8 + c * -0.8)
-2.08 + 0.16c = (5.6 + -0.8c)

Solving
-2.08 + 0.16c = 5.6 + -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.
-2.08 + 0.16c + 0.8c = 5.6 + -0.8c + 0.8c

Combine like terms: 0.16c + 0.8c = 0.96c
-2.08 + 0.96c = 5.6 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-2.08 + 0.96c = 5.6 + 0.0
-2.08 + 0.96c = 5.6

Add '2.08' to each side of the equation.
-2.08 + 2.08 + 0.96c = 5.6 + 2.08

Combine like terms: -2.08 + 2.08 = 0.00
0.00 + 0.96c = 5.6 + 2.08
0.96c = 5.6 + 2.08

Combine like terms: 5.6 + 2.08 = 7.68
0.96c = 7.68

Divide each side by '0.96'.
c = 8

Simplifying
c = 8

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