2(c-3)-6=9c+2

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Solution for 2(c-3)-6=9c+2 equation:


Simplifying
2(c + -3) + -6 = 9c + 2

Reorder the terms:
2(-3 + c) + -6 = 9c + 2
(-3 * 2 + c * 2) + -6 = 9c + 2
(-6 + 2c) + -6 = 9c + 2

Reorder the terms:
-6 + -6 + 2c = 9c + 2

Combine like terms: -6 + -6 = -12
-12 + 2c = 9c + 2

Reorder the terms:
-12 + 2c = 2 + 9c

Solving
-12 + 2c = 2 + 9c

Solving for variable 'c'.

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

Add '-9c' to each side of the equation.
-12 + 2c + -9c = 2 + 9c + -9c

Combine like terms: 2c + -9c = -7c
-12 + -7c = 2 + 9c + -9c

Combine like terms: 9c + -9c = 0
-12 + -7c = 2 + 0
-12 + -7c = 2

Add '12' to each side of the equation.
-12 + 12 + -7c = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -7c = 2 + 12
-7c = 2 + 12

Combine like terms: 2 + 12 = 14
-7c = 14

Divide each side by '-7'.
c = -2

Simplifying
c = -2

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