4c+6=5c-9

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Solution for 4c+6=5c-9 equation:


Simplifying
4c + 6 = 5c + -9

Reorder the terms:
6 + 4c = 5c + -9

Reorder the terms:
6 + 4c = -9 + 5c

Solving
6 + 4c = -9 + 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.
6 + 4c + -5c = -9 + 5c + -5c

Combine like terms: 4c + -5c = -1c
6 + -1c = -9 + 5c + -5c

Combine like terms: 5c + -5c = 0
6 + -1c = -9 + 0
6 + -1c = -9

Add '-6' to each side of the equation.
6 + -6 + -1c = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = -9 + -6
-1c = -9 + -6

Combine like terms: -9 + -6 = -15
-1c = -15

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

Simplifying
c = 15

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