.04(4c-48)=.08(c-6)

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Solution for .04(4c-48)=.08(c-6) equation: 


Simplifying
0.04(4c + -48) = 0.08(c + -6)

Reorder the terms:
0.04(-48 + 4c) = 0.08(c + -6)
(-48 * 0.04 + 4c * 0.04) = 0.08(c + -6)
(-1.92 + 0.16c) = 0.08(c + -6)

Reorder the terms:
-1.92 + 0.16c = 0.08(-6 + c)
-1.92 + 0.16c = (-6 * 0.08 + c * 0.08)
-1.92 + 0.16c = (-0.48 + 0.08c)

Solving
-1.92 + 0.16c = -0.48 + 0.08c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-0.08c' to each side of the equation.
-1.92 + 0.16c + -0.08c = -0.48 + 0.08c + -0.08c

Combine like terms: 0.16c + -0.08c = 0.08c
-1.92 + 0.08c = -0.48 + 0.08c + -0.08c

Combine like terms: 0.08c + -0.08c = 0.00
-1.92 + 0.08c = -0.48 + 0.00
-1.92 + 0.08c = -0.48

Add '1.92' to each side of the equation.
-1.92 + 1.92 + 0.08c = -0.48 + 1.92

Combine like terms: -1.92 + 1.92 = 0.00
0.00 + 0.08c = -0.48 + 1.92
0.08c = -0.48 + 1.92

Combine like terms: -0.48 + 1.92 = 1.44
0.08c = 1.44

Divide each side by '0.08'.
c = 18

Simplifying
c = 18

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