0.03(6c-84)=-0.9(c-2)

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Solution for 0.03(6c-84)=-0.9(c-2) equation: 


Simplifying
0.03(6c + -84) = -0.9(c + -2)

Reorder the terms:
0.03(-84 + 6c) = -0.9(c + -2)
(-84 * 0.03 + 6c * 0.03) = -0.9(c + -2)
(-2.52 + 0.18c) = -0.9(c + -2)

Reorder the terms:
-2.52 + 0.18c = -0.9(-2 + c)
-2.52 + 0.18c = (-2 * -0.9 + c * -0.9)
-2.52 + 0.18c = (1.8 + -0.9c)

Solving
-2.52 + 0.18c = 1.8 + -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.
-2.52 + 0.18c + 0.9c = 1.8 + -0.9c + 0.9c

Combine like terms: 0.18c + 0.9c = 1.08c
-2.52 + 1.08c = 1.8 + -0.9c + 0.9c

Combine like terms: -0.9c + 0.9c = 0.0
-2.52 + 1.08c = 1.8 + 0.0
-2.52 + 1.08c = 1.8

Add '2.52' to each side of the equation.
-2.52 + 2.52 + 1.08c = 1.8 + 2.52

Combine like terms: -2.52 + 2.52 = 0.00
0.00 + 1.08c = 1.8 + 2.52
1.08c = 1.8 + 2.52

Combine like terms: 1.8 + 2.52 = 4.32
1.08c = 4.32

Divide each side by '1.08'.
c = 4

Simplifying
c = 4

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