0.02(6c-96)=-0.6(c-4)

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Solution for 0.02(6c-96)=-0.6(c-4) equation: 


Simplifying
0.02(6c + -96) = -0.6(c + -4)

Reorder the terms:
0.02(-96 + 6c) = -0.6(c + -4)
(-96 * 0.02 + 6c * 0.02) = -0.6(c + -4)
(-1.92 + 0.12c) = -0.6(c + -4)

Reorder the terms:
-1.92 + 0.12c = -0.6(-4 + c)
-1.92 + 0.12c = (-4 * -0.6 + c * -0.6)
-1.92 + 0.12c = (2.4 + -0.6c)

Solving
-1.92 + 0.12c = 2.4 + -0.6c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '0.6c' to each side of the equation.
-1.92 + 0.12c + 0.6c = 2.4 + -0.6c + 0.6c

Combine like terms: 0.12c + 0.6c = 0.72c
-1.92 + 0.72c = 2.4 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-1.92 + 0.72c = 2.4 + 0.0
-1.92 + 0.72c = 2.4

Add '1.92' to each side of the equation.
-1.92 + 1.92 + 0.72c = 2.4 + 1.92

Combine like terms: -1.92 + 1.92 = 0.00
0.00 + 0.72c = 2.4 + 1.92
0.72c = 2.4 + 1.92

Combine like terms: 2.4 + 1.92 = 4.32
0.72c = 4.32

Divide each side by '0.72'.
c = 6

Simplifying
c = 6

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