0.02(9c-84)=-0.6(c-5)

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Solution for 0.02(9c-84)=-0.6(c-5) equation: 


Simplifying
0.02(9c + -84) = -0.6(c + -5)

Reorder the terms:
0.02(-84 + 9c) = -0.6(c + -5)
(-84 * 0.02 + 9c * 0.02) = -0.6(c + -5)
(-1.68 + 0.18c) = -0.6(c + -5)

Reorder the terms:
-1.68 + 0.18c = -0.6(-5 + c)
-1.68 + 0.18c = (-5 * -0.6 + c * -0.6)
-1.68 + 0.18c = (3 + -0.6c)

Solving
-1.68 + 0.18c = 3 + -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.
-1.68 + 0.18c + 0.6c = 3 + -0.6c + 0.6c

Combine like terms: 0.18c + 0.6c = 0.78c
-1.68 + 0.78c = 3 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-1.68 + 0.78c = 3 + 0.0
-1.68 + 0.78c = 3

Add '1.68' to each side of the equation.
-1.68 + 1.68 + 0.78c = 3 + 1.68

Combine like terms: -1.68 + 1.68 = 0.00
0.00 + 0.78c = 3 + 1.68
0.78c = 3 + 1.68

Combine like terms: 3 + 1.68 = 4.68
0.78c = 4.68

Divide each side by '0.78'.
c = 6

Simplifying
c = 6

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