5(9c-1)-14=43c+5

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Solution for 5(9c-1)-14=43c+5 equation:


Simplifying
5(9c + -1) + -14 = 43c + 5

Reorder the terms:
5(-1 + 9c) + -14 = 43c + 5
(-1 * 5 + 9c * 5) + -14 = 43c + 5
(-5 + 45c) + -14 = 43c + 5

Reorder the terms:
-5 + -14 + 45c = 43c + 5

Combine like terms: -5 + -14 = -19
-19 + 45c = 43c + 5

Reorder the terms:
-19 + 45c = 5 + 43c

Solving
-19 + 45c = 5 + 43c

Solving for variable 'c'.

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

Add '-43c' to each side of the equation.
-19 + 45c + -43c = 5 + 43c + -43c

Combine like terms: 45c + -43c = 2c
-19 + 2c = 5 + 43c + -43c

Combine like terms: 43c + -43c = 0
-19 + 2c = 5 + 0
-19 + 2c = 5

Add '19' to each side of the equation.
-19 + 19 + 2c = 5 + 19

Combine like terms: -19 + 19 = 0
0 + 2c = 5 + 19
2c = 5 + 19

Combine like terms: 5 + 19 = 24
2c = 24

Divide each side by '2'.
c = 12

Simplifying
c = 12

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