-9n+5+2n=23+n+1+13

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Solution for -9n+5+2n=23+n+1+13 equation:


Simplifying
-9n + 5 + 2n = 23 + n + 1 + 13

Reorder the terms:
5 + -9n + 2n = 23 + n + 1 + 13

Combine like terms: -9n + 2n = -7n
5 + -7n = 23 + n + 1 + 13

Reorder the terms:
5 + -7n = 23 + 1 + 13 + n

Combine like terms: 23 + 1 = 24
5 + -7n = 24 + 13 + n

Combine like terms: 24 + 13 = 37
5 + -7n = 37 + n

Solving
5 + -7n = 37 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
5 + -7n + -1n = 37 + n + -1n

Combine like terms: -7n + -1n = -8n
5 + -8n = 37 + n + -1n

Combine like terms: n + -1n = 0
5 + -8n = 37 + 0
5 + -8n = 37

Add '-5' to each side of the equation.
5 + -5 + -8n = 37 + -5

Combine like terms: 5 + -5 = 0
0 + -8n = 37 + -5
-8n = 37 + -5

Combine like terms: 37 + -5 = 32
-8n = 32

Divide each side by '-8'.
n = -4

Simplifying
n = -4

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