5n+22=n-10

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Solution for 5n+22=n-10 equation: 


Simplifying
5n + 22 = n + -10

Reorder the terms:
22 + 5n = n + -10

Reorder the terms:
22 + 5n = -10 + n

Solving
22 + 5n = -10 + 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.
22 + 5n + -1n = -10 + n + -1n

Combine like terms: 5n + -1n = 4n
22 + 4n = -10 + n + -1n

Combine like terms: n + -1n = 0
22 + 4n = -10 + 0
22 + 4n = -10

Add '-22' to each side of the equation.
22 + -22 + 4n = -10 + -22

Combine like terms: 22 + -22 = 0
0 + 4n = -10 + -22
4n = -10 + -22

Combine like terms: -10 + -22 = -32
4n = -32

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

Simplifying
n = -8

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