0.04(4c-76)=-0.8(c-1)

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Solution for 0.04(4c-76)=-0.8(c-1) equation: 


Simplifying
0.04(4c + -76) = -0.8(c + -1)

Reorder the terms:
0.04(-76 + 4c) = -0.8(c + -1)
(-76 * 0.04 + 4c * 0.04) = -0.8(c + -1)
(-3.04 + 0.16c) = -0.8(c + -1)

Reorder the terms:
-3.04 + 0.16c = -0.8(-1 + c)
-3.04 + 0.16c = (-1 * -0.8 + c * -0.8)
-3.04 + 0.16c = (0.8 + -0.8c)

Solving
-3.04 + 0.16c = 0.8 + -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.
-3.04 + 0.16c + 0.8c = 0.8 + -0.8c + 0.8c

Combine like terms: 0.16c + 0.8c = 0.96c
-3.04 + 0.96c = 0.8 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-3.04 + 0.96c = 0.8 + 0.0
-3.04 + 0.96c = 0.8

Add '3.04' to each side of the equation.
-3.04 + 3.04 + 0.96c = 0.8 + 3.04

Combine like terms: -3.04 + 3.04 = 0.00
0.00 + 0.96c = 0.8 + 3.04
0.96c = 0.8 + 3.04

Combine like terms: 0.8 + 3.04 = 3.84
0.96c = 3.84

Divide each side by '0.96'.
c = 4

Simplifying
c = 4

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