0.03(6c-96)=-0.6(c-3)

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Solution for 0.03(6c-96)=-0.6(c-3) equation: 


Simplifying
0.03(6c + -96) = -0.6(c + -3)

Reorder the terms:
0.03(-96 + 6c) = -0.6(c + -3)
(-96 * 0.03 + 6c * 0.03) = -0.6(c + -3)
(-2.88 + 0.18c) = -0.6(c + -3)

Reorder the terms:
-2.88 + 0.18c = -0.6(-3 + c)
-2.88 + 0.18c = (-3 * -0.6 + c * -0.6)
-2.88 + 0.18c = (1.8 + -0.6c)

Solving
-2.88 + 0.18c = 1.8 + -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.
-2.88 + 0.18c + 0.6c = 1.8 + -0.6c + 0.6c

Combine like terms: 0.18c + 0.6c = 0.78c
-2.88 + 0.78c = 1.8 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-2.88 + 0.78c = 1.8 + 0.0
-2.88 + 0.78c = 1.8

Add '2.88' to each side of the equation.
-2.88 + 2.88 + 0.78c = 1.8 + 2.88

Combine like terms: -2.88 + 2.88 = 0.00
0.00 + 0.78c = 1.8 + 2.88
0.78c = 1.8 + 2.88

Combine like terms: 1.8 + 2.88 = 4.68
0.78c = 4.68

Divide each side by '0.78'.
c = 6

Simplifying
c = 6

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