8-2n=4(5-n)-22

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Solution for 8-2n=4(5-n)-22 equation:


Simplifying
8 + -2n = 4(5 + -1n) + -22
8 + -2n = (5 * 4 + -1n * 4) + -22
8 + -2n = (20 + -4n) + -22

Reorder the terms:
8 + -2n = 20 + -22 + -4n

Combine like terms: 20 + -22 = -2
8 + -2n = -2 + -4n

Solving
8 + -2n = -2 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
8 + -2n + 4n = -2 + -4n + 4n

Combine like terms: -2n + 4n = 2n
8 + 2n = -2 + -4n + 4n

Combine like terms: -4n + 4n = 0
8 + 2n = -2 + 0
8 + 2n = -2

Add '-8' to each side of the equation.
8 + -8 + 2n = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 2n = -2 + -8
2n = -2 + -8

Combine like terms: -2 + -8 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5

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