0.04(4c-92)=-0.8(c-5)

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Solution for 0.04(4c-92)=-0.8(c-5) equation: 


Simplifying
0.04(4c + -92) = -0.8(c + -5)

Reorder the terms:
0.04(-92 + 4c) = -0.8(c + -5)
(-92 * 0.04 + 4c * 0.04) = -0.8(c + -5)
(-3.68 + 0.16c) = -0.8(c + -5)

Reorder the terms:
-3.68 + 0.16c = -0.8(-5 + c)
-3.68 + 0.16c = (-5 * -0.8 + c * -0.8)
-3.68 + 0.16c = (4 + -0.8c)

Solving
-3.68 + 0.16c = 4 + -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.
-3.68 + 0.16c + 0.8c = 4 + -0.8c + 0.8c

Combine like terms: 0.16c + 0.8c = 0.96c
-3.68 + 0.96c = 4 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-3.68 + 0.96c = 4 + 0.0
-3.68 + 0.96c = 4

Add '3.68' to each side of the equation.
-3.68 + 3.68 + 0.96c = 4 + 3.68

Combine like terms: -3.68 + 3.68 = 0.00
0.00 + 0.96c = 4 + 3.68
0.96c = 4 + 3.68

Combine like terms: 4 + 3.68 = 7.68
0.96c = 7.68

Divide each side by '0.96'.
c = 8

Simplifying
c = 8

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