(n+9)=9n+81

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Solution for (n+9)=9n+81 equation:


Simplifying
(n + 9) = 9n + 81

Reorder the terms:
(9 + n) = 9n + 81

Remove parenthesis around (9 + n)
9 + n = 9n + 81

Reorder the terms:
9 + n = 81 + 9n

Solving
9 + n = 81 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
9 + n + -9n = 81 + 9n + -9n

Combine like terms: n + -9n = -8n
9 + -8n = 81 + 9n + -9n

Combine like terms: 9n + -9n = 0
9 + -8n = 81 + 0
9 + -8n = 81

Add '-9' to each side of the equation.
9 + -9 + -8n = 81 + -9

Combine like terms: 9 + -9 = 0
0 + -8n = 81 + -9
-8n = 81 + -9

Combine like terms: 81 + -9 = 72
-8n = 72

Divide each side by '-8'.
n = -9

Simplifying
n = -9

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