0.02(4c-48)=-0.4(c-6)

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Solution for 0.02(4c-48)=-0.4(c-6) equation: 


Simplifying
0.02(4c + -48) = -0.4(c + -6)

Reorder the terms:
0.02(-48 + 4c) = -0.4(c + -6)
(-48 * 0.02 + 4c * 0.02) = -0.4(c + -6)
(-0.96 + 0.08c) = -0.4(c + -6)

Reorder the terms:
-0.96 + 0.08c = -0.4(-6 + c)
-0.96 + 0.08c = (-6 * -0.4 + c * -0.4)
-0.96 + 0.08c = (2.4 + -0.4c)

Solving
-0.96 + 0.08c = 2.4 + -0.4c

Solving for variable 'c'.

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

Add '0.4c' to each side of the equation.
-0.96 + 0.08c + 0.4c = 2.4 + -0.4c + 0.4c

Combine like terms: 0.08c + 0.4c = 0.48c
-0.96 + 0.48c = 2.4 + -0.4c + 0.4c

Combine like terms: -0.4c + 0.4c = 0.0
-0.96 + 0.48c = 2.4 + 0.0
-0.96 + 0.48c = 2.4

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.48c = 2.4 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.48c = 2.4 + 0.96
0.48c = 2.4 + 0.96

Combine like terms: 2.4 + 0.96 = 3.36
0.48c = 3.36

Divide each side by '0.48'.
c = 7

Simplifying
c = 7

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