0.04(4c-52)=-0.8(c-1)

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Solution for 0.04(4c-52)=-0.8(c-1) equation:


Simplifying
0.04(4c + -52) = -0.8(c + -1)

Reorder the terms:
0.04(-52 + 4c) = -0.8(c + -1)
(-52 * 0.04 + 4c * 0.04) = -0.8(c + -1)
(-2.08 + 0.16c) = -0.8(c + -1)

Reorder the terms:
-2.08 + 0.16c = -0.8(-1 + c)
-2.08 + 0.16c = (-1 * -0.8 + c * -0.8)
-2.08 + 0.16c = (0.8 + -0.8c)

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

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

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

Add '2.08' to each side of the equation.
-2.08 + 2.08 + 0.96c = 0.8 + 2.08

Combine like terms: -2.08 + 2.08 = 0.00
0.00 + 0.96c = 0.8 + 2.08
0.96c = 0.8 + 2.08

Combine like terms: 0.8 + 2.08 = 2.88
0.96c = 2.88

Divide each side by '0.96'.
c = 3

Simplifying
c = 3

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