.03(6c-48)=-.9(c-2)

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Solution for .03(6c-48)=-.9(c-2) equation: 


Simplifying
0.03(6c + -48) = -0.9(c + -2)

Reorder the terms:
0.03(-48 + 6c) = -0.9(c + -2)
(-48 * 0.03 + 6c * 0.03) = -0.9(c + -2)
(-1.44 + 0.18c) = -0.9(c + -2)

Reorder the terms:
-1.44 + 0.18c = -0.9(-2 + c)
-1.44 + 0.18c = (-2 * -0.9 + c * -0.9)
-1.44 + 0.18c = (1.8 + -0.9c)

Solving
-1.44 + 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.
-1.44 + 0.18c + 0.9c = 1.8 + -0.9c + 0.9c

Combine like terms: 0.18c + 0.9c = 1.08c
-1.44 + 1.08c = 1.8 + -0.9c + 0.9c

Combine like terms: -0.9c + 0.9c = 0.0
-1.44 + 1.08c = 1.8 + 0.0
-1.44 + 1.08c = 1.8

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 1.08c = 1.8 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 1.08c = 1.8 + 1.44
1.08c = 1.8 + 1.44

Combine like terms: 1.8 + 1.44 = 3.24
1.08c = 3.24

Divide each side by '1.08'.
c = 3

Simplifying
c = 3

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