9(6+c)=5(c-6)

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Solution for 9(6+c)=5(c-6) equation: 


Simplifying
9(6 + c) = 5(c + -6)
(6 * 9 + c * 9) = 5(c + -6)
(54 + 9c) = 5(c + -6)

Reorder the terms:
54 + 9c = 5(-6 + c)
54 + 9c = (-6 * 5 + c * 5)
54 + 9c = (-30 + 5c)

Solving
54 + 9c = -30 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
54 + 9c + -5c = -30 + 5c + -5c

Combine like terms: 9c + -5c = 4c
54 + 4c = -30 + 5c + -5c

Combine like terms: 5c + -5c = 0
54 + 4c = -30 + 0
54 + 4c = -30

Add '-54' to each side of the equation.
54 + -54 + 4c = -30 + -54

Combine like terms: 54 + -54 = 0
0 + 4c = -30 + -54
4c = -30 + -54

Combine like terms: -30 + -54 = -84
4c = -84

Divide each side by '4'.
c = -21

Simplifying
c = -21

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