22-n=5(n-4)

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Solution for 22-n=5(n-4) equation:


Simplifying
22 + -1n = 5(n + -4)

Reorder the terms:
22 + -1n = 5(-4 + n)
22 + -1n = (-4 * 5 + n * 5)
22 + -1n = (-20 + 5n)

Solving
22 + -1n = -20 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
22 + -1n + -5n = -20 + 5n + -5n

Combine like terms: -1n + -5n = -6n
22 + -6n = -20 + 5n + -5n

Combine like terms: 5n + -5n = 0
22 + -6n = -20 + 0
22 + -6n = -20

Add '-22' to each side of the equation.
22 + -22 + -6n = -20 + -22

Combine like terms: 22 + -22 = 0
0 + -6n = -20 + -22
-6n = -20 + -22

Combine like terms: -20 + -22 = -42
-6n = -42

Divide each side by '-6'.
n = 7

Simplifying
n = 7

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