17(9c-1)-14=151c+17

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Solution for 17(9c-1)-14=151c+17 equation:


Simplifying
17(9c + -1) + -14 = 151c + 17

Reorder the terms:
17(-1 + 9c) + -14 = 151c + 17
(-1 * 17 + 9c * 17) + -14 = 151c + 17
(-17 + 153c) + -14 = 151c + 17

Reorder the terms:
-17 + -14 + 153c = 151c + 17

Combine like terms: -17 + -14 = -31
-31 + 153c = 151c + 17

Reorder the terms:
-31 + 153c = 17 + 151c

Solving
-31 + 153c = 17 + 151c

Solving for variable 'c'.

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

Add '-151c' to each side of the equation.
-31 + 153c + -151c = 17 + 151c + -151c

Combine like terms: 153c + -151c = 2c
-31 + 2c = 17 + 151c + -151c

Combine like terms: 151c + -151c = 0
-31 + 2c = 17 + 0
-31 + 2c = 17

Add '31' to each side of the equation.
-31 + 31 + 2c = 17 + 31

Combine like terms: -31 + 31 = 0
0 + 2c = 17 + 31
2c = 17 + 31

Combine like terms: 17 + 31 = 48
2c = 48

Divide each side by '2'.
c = 24

Simplifying
c = 24

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