9n+n-72=60+24n-216

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Solution for 9n+n-72=60+24n-216 equation:


Simplifying
9n + n + -72 = 60 + 24n + -216

Reorder the terms:
-72 + 9n + n = 60 + 24n + -216

Combine like terms: 9n + n = 10n
-72 + 10n = 60 + 24n + -216

Reorder the terms:
-72 + 10n = 60 + -216 + 24n

Combine like terms: 60 + -216 = -156
-72 + 10n = -156 + 24n

Solving
-72 + 10n = -156 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
-72 + 10n + -24n = -156 + 24n + -24n

Combine like terms: 10n + -24n = -14n
-72 + -14n = -156 + 24n + -24n

Combine like terms: 24n + -24n = 0
-72 + -14n = -156 + 0
-72 + -14n = -156

Add '72' to each side of the equation.
-72 + 72 + -14n = -156 + 72

Combine like terms: -72 + 72 = 0
0 + -14n = -156 + 72
-14n = -156 + 72

Combine like terms: -156 + 72 = -84
-14n = -84

Divide each side by '-14'.
n = 6

Simplifying
n = 6

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