0.02(8c-56)=-0.8(c-1)

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Solution for 0.02(8c-56)=-0.8(c-1) equation: 


Simplifying
0.02(8c + -56) = -0.8(c + -1)

Reorder the terms:
0.02(-56 + 8c) = -0.8(c + -1)
(-56 * 0.02 + 8c * 0.02) = -0.8(c + -1)
(-1.12 + 0.16c) = -0.8(c + -1)

Reorder the terms:
-1.12 + 0.16c = -0.8(-1 + c)
-1.12 + 0.16c = (-1 * -0.8 + c * -0.8)
-1.12 + 0.16c = (0.8 + -0.8c)

Solving
-1.12 + 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.
-1.12 + 0.16c + 0.8c = 0.8 + -0.8c + 0.8c

Combine like terms: 0.16c + 0.8c = 0.96c
-1.12 + 0.96c = 0.8 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-1.12 + 0.96c = 0.8 + 0.0
-1.12 + 0.96c = 0.8

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 0.96c = 0.8 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 0.96c = 0.8 + 1.12
0.96c = 0.8 + 1.12

Combine like terms: 0.8 + 1.12 = 1.92
0.96c = 1.92

Divide each side by '0.96'.
c = 2

Simplifying
c = 2

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