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

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Solution for 0.2(3c+15)=3(0.8c-8) equation:


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

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

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

Solving
3 + 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.
3 + 0.6c + -2.4c = -24 + 2.4c + -2.4c

Combine like terms: 0.6c + -2.4c = -1.8c
3 + -1.8c = -24 + 2.4c + -2.4c

Combine like terms: 2.4c + -2.4c = 0.0
3 + -1.8c = -24 + 0.0
3 + -1.8c = -24

Add '-3' to each side of the equation.
3 + -3 + -1.8c = -24 + -3

Combine like terms: 3 + -3 = 0
0 + -1.8c = -24 + -3
-1.8c = -24 + -3

Combine like terms: -24 + -3 = -27
-1.8c = -27

Divide each side by '-1.8'.
c = 15

Simplifying
c = 15

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