0.03(6c-96)=-0.9(c-4)

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Solution for 0.03(6c-96)=-0.9(c-4) equation:


Simplifying
0.03(6c + -96) = -0.9(c + -4)

Reorder the terms:
0.03(-96 + 6c) = -0.9(c + -4)
(-96 * 0.03 + 6c * 0.03) = -0.9(c + -4)
(-2.88 + 0.18c) = -0.9(c + -4)

Reorder the terms:
-2.88 + 0.18c = -0.9(-4 + c)
-2.88 + 0.18c = (-4 * -0.9 + c * -0.9)
-2.88 + 0.18c = (3.6 + -0.9c)

Solving
-2.88 + 0.18c = 3.6 + -0.9c

Solving for variable 'c'.

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

Add '0.9c' to each side of the equation.
-2.88 + 0.18c + 0.9c = 3.6 + -0.9c + 0.9c

Combine like terms: 0.18c + 0.9c = 1.08c
-2.88 + 1.08c = 3.6 + -0.9c + 0.9c

Combine like terms: -0.9c + 0.9c = 0.0
-2.88 + 1.08c = 3.6 + 0.0
-2.88 + 1.08c = 3.6

Add '2.88' to each side of the equation.
-2.88 + 2.88 + 1.08c = 3.6 + 2.88

Combine like terms: -2.88 + 2.88 = 0.00
0.00 + 1.08c = 3.6 + 2.88
1.08c = 3.6 + 2.88

Combine like terms: 3.6 + 2.88 = 6.48
1.08c = 6.48

Divide each side by '1.08'.
c = 6

Simplifying
c = 6

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