8c+2-2c-6-6c-9=7c+3-6c+4+5c+10

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Solution for 8c+2-2c-6-6c-9=7c+3-6c+4+5c+10 equation:


Simplifying
8c + 2 + -2c + -6 + -6c + -9 = 7c + 3 + -6c + 4 + 5c + 10

Reorder the terms:
2 + -6 + -9 + 8c + -2c + -6c = 7c + 3 + -6c + 4 + 5c + 10

Combine like terms: 2 + -6 = -4
-4 + -9 + 8c + -2c + -6c = 7c + 3 + -6c + 4 + 5c + 10

Combine like terms: -4 + -9 = -13
-13 + 8c + -2c + -6c = 7c + 3 + -6c + 4 + 5c + 10

Combine like terms: 8c + -2c = 6c
-13 + 6c + -6c = 7c + 3 + -6c + 4 + 5c + 10

Combine like terms: 6c + -6c = 0
-13 + 0 = 7c + 3 + -6c + 4 + 5c + 10
-13 = 7c + 3 + -6c + 4 + 5c + 10

Reorder the terms:
-13 = 3 + 4 + 10 + 7c + -6c + 5c

Combine like terms: 3 + 4 = 7
-13 = 7 + 10 + 7c + -6c + 5c

Combine like terms: 7 + 10 = 17
-13 = 17 + 7c + -6c + 5c

Combine like terms: 7c + -6c = 1c
-13 = 17 + 1c + 5c

Combine like terms: 1c + 5c = 6c
-13 = 17 + 6c

Solving
-13 = 17 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
-13 + -6c = 17 + 6c + -6c

Combine like terms: 6c + -6c = 0
-13 + -6c = 17 + 0
-13 + -6c = 17

Add '13' to each side of the equation.
-13 + 13 + -6c = 17 + 13

Combine like terms: -13 + 13 = 0
0 + -6c = 17 + 13
-6c = 17 + 13

Combine like terms: 17 + 13 = 30
-6c = 30

Divide each side by '-6'.
c = -5

Simplifying
c = -5

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