0.03(3c-48)=-0.9(c-5)

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Solution for 0.03(3c-48)=-0.9(c-5) equation: 


Simplifying
0.03(3c + -48) = -0.9(c + -5)

Reorder the terms:
0.03(-48 + 3c) = -0.9(c + -5)
(-48 * 0.03 + 3c * 0.03) = -0.9(c + -5)
(-1.44 + 0.09c) = -0.9(c + -5)

Reorder the terms:
-1.44 + 0.09c = -0.9(-5 + c)
-1.44 + 0.09c = (-5 * -0.9 + c * -0.9)
-1.44 + 0.09c = (4.5 + -0.9c)

Solving
-1.44 + 0.09c = 4.5 + -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.
-1.44 + 0.09c + 0.9c = 4.5 + -0.9c + 0.9c

Combine like terms: 0.09c + 0.9c = 0.99c
-1.44 + 0.99c = 4.5 + -0.9c + 0.9c

Combine like terms: -0.9c + 0.9c = 0.0
-1.44 + 0.99c = 4.5 + 0.0
-1.44 + 0.99c = 4.5

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.99c = 4.5 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.99c = 4.5 + 1.44
0.99c = 4.5 + 1.44

Combine like terms: 4.5 + 1.44 = 5.94
0.99c = 5.94

Divide each side by '0.99'.
c = 6

Simplifying
c = 6

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