-5(n+4)+22=-2n-16

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Solution for -5(n+4)+22=-2n-16 equation: 


Simplifying
-5(n + 4) + 22 = -2n + -16

Reorder the terms:
-5(4 + n) + 22 = -2n + -16
(4 * -5 + n * -5) + 22 = -2n + -16
(-20 + -5n) + 22 = -2n + -16

Reorder the terms:
-20 + 22 + -5n = -2n + -16

Combine like terms: -20 + 22 = 2
2 + -5n = -2n + -16

Reorder the terms:
2 + -5n = -16 + -2n

Solving
2 + -5n = -16 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
2 + -5n + 2n = -16 + -2n + 2n

Combine like terms: -5n + 2n = -3n
2 + -3n = -16 + -2n + 2n

Combine like terms: -2n + 2n = 0
2 + -3n = -16 + 0
2 + -3n = -16

Add '-2' to each side of the equation.
2 + -2 + -3n = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -16 + -2
-3n = -16 + -2

Combine like terms: -16 + -2 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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