8c-(c+6)=7+3(-9c-5)

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Solution for 8c-(c+6)=7+3(-9c-5) equation:


Simplifying
8c + -1(c + 6) = 7 + 3(-9c + -5)

Reorder the terms:
8c + -1(6 + c) = 7 + 3(-9c + -5)
8c + (6 * -1 + c * -1) = 7 + 3(-9c + -5)
8c + (-6 + -1c) = 7 + 3(-9c + -5)

Reorder the terms:
-6 + 8c + -1c = 7 + 3(-9c + -5)

Combine like terms: 8c + -1c = 7c
-6 + 7c = 7 + 3(-9c + -5)

Reorder the terms:
-6 + 7c = 7 + 3(-5 + -9c)
-6 + 7c = 7 + (-5 * 3 + -9c * 3)
-6 + 7c = 7 + (-15 + -27c)

Combine like terms: 7 + -15 = -8
-6 + 7c = -8 + -27c

Solving
-6 + 7c = -8 + -27c

Solving for variable 'c'.

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

Add '27c' to each side of the equation.
-6 + 7c + 27c = -8 + -27c + 27c

Combine like terms: 7c + 27c = 34c
-6 + 34c = -8 + -27c + 27c

Combine like terms: -27c + 27c = 0
-6 + 34c = -8 + 0
-6 + 34c = -8

Add '6' to each side of the equation.
-6 + 6 + 34c = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 34c = -8 + 6
34c = -8 + 6

Combine like terms: -8 + 6 = -2
34c = -2

Divide each side by '34'.
c = -0.05882352941

Simplifying
c = -0.05882352941

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