9(n+9)=-2+2(8n-11)

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Solution for 9(n+9)=-2+2(8n-11) equation: 


Simplifying
9(n + 9) = -2 + 2(8n + -11)

Reorder the terms:
9(9 + n) = -2 + 2(8n + -11)
(9 * 9 + n * 9) = -2 + 2(8n + -11)
(81 + 9n) = -2 + 2(8n + -11)

Reorder the terms:
81 + 9n = -2 + 2(-11 + 8n)
81 + 9n = -2 + (-11 * 2 + 8n * 2)
81 + 9n = -2 + (-22 + 16n)

Combine like terms: -2 + -22 = -24
81 + 9n = -24 + 16n

Solving
81 + 9n = -24 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
81 + 9n + -16n = -24 + 16n + -16n

Combine like terms: 9n + -16n = -7n
81 + -7n = -24 + 16n + -16n

Combine like terms: 16n + -16n = 0
81 + -7n = -24 + 0
81 + -7n = -24

Add '-81' to each side of the equation.
81 + -81 + -7n = -24 + -81

Combine like terms: 81 + -81 = 0
0 + -7n = -24 + -81
-7n = -24 + -81

Combine like terms: -24 + -81 = -105
-7n = -105

Divide each side by '-7'.
n = 15

Simplifying
n = 15

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