5(c-8)-3(2c+2)=-84

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Solution for 5(c-8)-3(2c+2)=-84 equation: 


Simplifying
5(c + -8) + -3(2c + 2) = -84

Reorder the terms:
5(-8 + c) + -3(2c + 2) = -84
(-8 * 5 + c * 5) + -3(2c + 2) = -84
(-40 + 5c) + -3(2c + 2) = -84

Reorder the terms:
-40 + 5c + -3(2 + 2c) = -84
-40 + 5c + (2 * -3 + 2c * -3) = -84
-40 + 5c + (-6 + -6c) = -84

Reorder the terms:
-40 + -6 + 5c + -6c = -84

Combine like terms: -40 + -6 = -46
-46 + 5c + -6c = -84

Combine like terms: 5c + -6c = -1c
-46 + -1c = -84

Solving
-46 + -1c = -84

Solving for variable 'c'.

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

Add '46' to each side of the equation.
-46 + 46 + -1c = -84 + 46

Combine like terms: -46 + 46 = 0
0 + -1c = -84 + 46
-1c = -84 + 46

Combine like terms: -84 + 46 = -38
-1c = -38

Divide each side by '-1'.
c = 38

Simplifying
c = 38

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