0.03(3c-51)=-0.9(c-6)

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Solution for 0.03(3c-51)=-0.9(c-6) equation: 


Simplifying
0.03(3c + -51) = -0.9(c + -6)

Reorder the terms:
0.03(-51 + 3c) = -0.9(c + -6)
(-51 * 0.03 + 3c * 0.03) = -0.9(c + -6)
(-1.53 + 0.09c) = -0.9(c + -6)

Reorder the terms:
-1.53 + 0.09c = -0.9(-6 + c)
-1.53 + 0.09c = (-6 * -0.9 + c * -0.9)
-1.53 + 0.09c = (5.4 + -0.9c)

Solving
-1.53 + 0.09c = 5.4 + -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.
-1.53 + 0.09c + 0.9c = 5.4 + -0.9c + 0.9c

Combine like terms: 0.09c + 0.9c = 0.99c
-1.53 + 0.99c = 5.4 + -0.9c + 0.9c

Combine like terms: -0.9c + 0.9c = 0.0
-1.53 + 0.99c = 5.4 + 0.0
-1.53 + 0.99c = 5.4

Add '1.53' to each side of the equation.
-1.53 + 1.53 + 0.99c = 5.4 + 1.53

Combine like terms: -1.53 + 1.53 = 0.00
0.00 + 0.99c = 5.4 + 1.53
0.99c = 5.4 + 1.53

Combine like terms: 5.4 + 1.53 = 6.93
0.99c = 6.93

Divide each side by '0.99'.
c = 7

Simplifying
c = 7

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