.02(6c-48)=-.6(c-2)

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Solution for .02(6c-48)=-.6(c-2) equation:


Simplifying
0.02(6c + -48) = -0.6(c + -2)

Reorder the terms:
0.02(-48 + 6c) = -0.6(c + -2)
(-48 * 0.02 + 6c * 0.02) = -0.6(c + -2)
(-0.96 + 0.12c) = -0.6(c + -2)

Reorder the terms:
-0.96 + 0.12c = -0.6(-2 + c)
-0.96 + 0.12c = (-2 * -0.6 + c * -0.6)
-0.96 + 0.12c = (1.2 + -0.6c)

Solving
-0.96 + 0.12c = 1.2 + -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.
-0.96 + 0.12c + 0.6c = 1.2 + -0.6c + 0.6c

Combine like terms: 0.12c + 0.6c = 0.72c
-0.96 + 0.72c = 1.2 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-0.96 + 0.72c = 1.2 + 0.0
-0.96 + 0.72c = 1.2

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.72c = 1.2 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.72c = 1.2 + 0.96
0.72c = 1.2 + 0.96

Combine like terms: 1.2 + 0.96 = 2.16
0.72c = 2.16

Divide each side by '0.72'.
c = 3

Simplifying
c = 3

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