180=(4n+22)+8n-10

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Solution for 180=(4n+22)+8n-10 equation:


Simplifying
180 = (4n + 22) + 8n + -10

Reorder the terms:
180 = (22 + 4n) + 8n + -10

Remove parenthesis around (22 + 4n)
180 = 22 + 4n + 8n + -10

Reorder the terms:
180 = 22 + -10 + 4n + 8n

Combine like terms: 22 + -10 = 12
180 = 12 + 4n + 8n

Combine like terms: 4n + 8n = 12n
180 = 12 + 12n

Solving
180 = 12 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
180 + -12n = 12 + 12n + -12n

Combine like terms: 12n + -12n = 0
180 + -12n = 12 + 0
180 + -12n = 12

Add '-180' to each side of the equation.
180 + -180 + -12n = 12 + -180

Combine like terms: 180 + -180 = 0
0 + -12n = 12 + -180
-12n = 12 + -180

Combine like terms: 12 + -180 = -168
-12n = -168

Divide each side by '-12'.
n = 14

Simplifying
n = 14

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