-n+22=5(n+5)-5n

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Solution for -n+22=5(n+5)-5n equation:


Simplifying
-1n + 22 = 5(n + 5) + -5n

Reorder the terms:
22 + -1n = 5(n + 5) + -5n

Reorder the terms:
22 + -1n = 5(5 + n) + -5n
22 + -1n = (5 * 5 + n * 5) + -5n
22 + -1n = (25 + 5n) + -5n

Combine like terms: 5n + -5n = 0
22 + -1n = 25 + 0
22 + -1n = 25

Solving
22 + -1n = 25

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + -1n = 25 + -22

Combine like terms: 22 + -22 = 0
0 + -1n = 25 + -22
-1n = 25 + -22

Combine like terms: 25 + -22 = 3
-1n = 3

Divide each side by '-1'.
n = -3

Simplifying
n = -3

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