39-.2(3c+15)=3(.8c-8)

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Solution for 39-.2(3c+15)=3(.8c-8) equation:


Simplifying
39 + -0.2(3c + 15) = 3(0.8c + -8)

Reorder the terms:
39 + -0.2(15 + 3c) = 3(0.8c + -8)
39 + (15 * -0.2 + 3c * -0.2) = 3(0.8c + -8)
39 + (-3 + -0.6c) = 3(0.8c + -8)

Combine like terms: 39 + -3 = 36
36 + -0.6c = 3(0.8c + -8)

Reorder the terms:
36 + -0.6c = 3(-8 + 0.8c)
36 + -0.6c = (-8 * 3 + 0.8c * 3)
36 + -0.6c = (-24 + 2.4c)

Solving
36 + -0.6c = -24 + 2.4c

Solving for variable 'c'.

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

Add '-2.4c' to each side of the equation.
36 + -0.6c + -2.4c = -24 + 2.4c + -2.4c

Combine like terms: -0.6c + -2.4c = -3c
36 + -3c = -24 + 2.4c + -2.4c

Combine like terms: 2.4c + -2.4c = 0.0
36 + -3c = -24 + 0.0
36 + -3c = -24

Add '-36' to each side of the equation.
36 + -36 + -3c = -24 + -36

Combine like terms: 36 + -36 = 0
0 + -3c = -24 + -36
-3c = -24 + -36

Combine like terms: -24 + -36 = -60
-3c = -60

Divide each side by '-3'.
c = 20

Simplifying
c = 20

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