0.03(3c-42)=-0.9(c-3)

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Solution for 0.03(3c-42)=-0.9(c-3) equation: 


Simplifying
0.03(3c + -42) = -0.9(c + -3)

Reorder the terms:
0.03(-42 + 3c) = -0.9(c + -3)
(-42 * 0.03 + 3c * 0.03) = -0.9(c + -3)
(-1.26 + 0.09c) = -0.9(c + -3)

Reorder the terms:
-1.26 + 0.09c = -0.9(-3 + c)
-1.26 + 0.09c = (-3 * -0.9 + c * -0.9)
-1.26 + 0.09c = (2.7 + -0.9c)

Solving
-1.26 + 0.09c = 2.7 + -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.
-1.26 + 0.09c + 0.9c = 2.7 + -0.9c + 0.9c

Combine like terms: 0.09c + 0.9c = 0.99c
-1.26 + 0.99c = 2.7 + -0.9c + 0.9c

Combine like terms: -0.9c + 0.9c = 0.0
-1.26 + 0.99c = 2.7 + 0.0
-1.26 + 0.99c = 2.7

Add '1.26' to each side of the equation.
-1.26 + 1.26 + 0.99c = 2.7 + 1.26

Combine like terms: -1.26 + 1.26 = 0.00
0.00 + 0.99c = 2.7 + 1.26
0.99c = 2.7 + 1.26

Combine like terms: 2.7 + 1.26 = 3.96
0.99c = 3.96

Divide each side by '0.99'.
c = 4

Simplifying
c = 4

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