5(c-8)-3(2c+13)=-84

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Solution for 5(c-8)-3(2c+13)=-84 equation:


Simplifying
5(c + -8) + -3(2c + 13) = -84

Reorder the terms:
5(-8 + c) + -3(2c + 13) = -84
(-8 * 5 + c * 5) + -3(2c + 13) = -84
(-40 + 5c) + -3(2c + 13) = -84

Reorder the terms:
-40 + 5c + -3(13 + 2c) = -84
-40 + 5c + (13 * -3 + 2c * -3) = -84
-40 + 5c + (-39 + -6c) = -84

Reorder the terms:
-40 + -39 + 5c + -6c = -84

Combine like terms: -40 + -39 = -79
-79 + 5c + -6c = -84

Combine like terms: 5c + -6c = -1c
-79 + -1c = -84

Solving
-79 + -1c = -84

Solving for variable 'c'.

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

Add '79' to each side of the equation.
-79 + 79 + -1c = -84 + 79

Combine like terms: -79 + 79 = 0
0 + -1c = -84 + 79
-1c = -84 + 79

Combine like terms: -84 + 79 = -5
-1c = -5

Divide each side by '-1'.
c = 5

Simplifying
c = 5

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