-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 = -3c
-3 + -3c = -24 + 2.4c + -2.4c

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

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

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

Combine like terms: -24 + 3 = -21
-3c = -21

Divide each side by '-3'.
c = 7

Simplifying
c = 7

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