5n+171=14n-9

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Solution for 5n+171=14n-9 equation:


Simplifying
5n + 171 = 14n + -9

Reorder the terms:
171 + 5n = 14n + -9

Reorder the terms:
171 + 5n = -9 + 14n

Solving
171 + 5n = -9 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
171 + 5n + -14n = -9 + 14n + -14n

Combine like terms: 5n + -14n = -9n
171 + -9n = -9 + 14n + -14n

Combine like terms: 14n + -14n = 0
171 + -9n = -9 + 0
171 + -9n = -9

Add '-171' to each side of the equation.
171 + -171 + -9n = -9 + -171

Combine like terms: 171 + -171 = 0
0 + -9n = -9 + -171
-9n = -9 + -171

Combine like terms: -9 + -171 = -180
-9n = -180

Divide each side by '-9'.
n = 20

Simplifying
n = 20

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