23c-8c+12d+6d-17d-14c=8+7

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Solution for 23c-8c+12d+6d-17d-14c=8+7 equation:


Simplifying
23c + -8c + 12d + 6d + -17d + -14c = 8 + 7

Reorder the terms:
23c + -8c + -14c + 12d + 6d + -17d = 8 + 7

Combine like terms: 23c + -8c = 15c
15c + -14c + 12d + 6d + -17d = 8 + 7

Combine like terms: 15c + -14c = 1c
1c + 12d + 6d + -17d = 8 + 7

Combine like terms: 12d + 6d = 18d
1c + 18d + -17d = 8 + 7

Combine like terms: 18d + -17d = 1d
1c + 1d = 8 + 7

Combine like terms: 8 + 7 = 15
1c + 1d = 15

Solving
1c + 1d = 15

Solving for variable 'c'.

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

Add '-1d' to each side of the equation.
1c + 1d + -1d = 15 + -1d

Combine like terms: 1d + -1d = 0
1c + 0 = 15 + -1d
1c = 15 + -1d

Divide each side by '1'.
c = 15 + -1d

Simplifying
c = 15 + -1d

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