((n+9)-n)((n+9)+n)=((n+7)-n)((n+7)+n)+64

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Solution for ((n+9)-n)((n+9)+n)=((n+7)-n)((n+7)+n)+64 equation:


Simplifying
((n + 9) + -1n)((n + 9) + n) = ((n + 7) + -1n)((n + 7) + n) + 64

Reorder the terms:
((9 + n) + -1n)((n + 9) + n) = ((n + 7) + -1n)((n + 7) + n) + 64

Remove parenthesis around (9 + n)
(9 + n + -1n)((n + 9) + n) = ((n + 7) + -1n)((n + 7) + n) + 64

Combine like terms: n + -1n = 0
(9 + 0)((n + 9) + n) = ((n + 7) + -1n)((n + 7) + n) + 64
(9)((n + 9) + n) = ((n + 7) + -1n)((n + 7) + n) + 64

Reorder the terms:
9((9 + n) + n) = ((n + 7) + -1n)((n + 7) + n) + 64

Remove parenthesis around (9 + n)
9(9 + n + n) = ((n + 7) + -1n)((n + 7) + n) + 64

Combine like terms: n + n = 2n
9(9 + 2n) = ((n + 7) + -1n)((n + 7) + n) + 64
(9 * 9 + 2n * 9) = ((n + 7) + -1n)((n + 7) + n) + 64
(81 + 18n) = ((n + 7) + -1n)((n + 7) + n) + 64

Reorder the terms:
81 + 18n = ((7 + n) + -1n)((n + 7) + n) + 64

Remove parenthesis around (7 + n)
81 + 18n = (7 + n + -1n)((n + 7) + n) + 64

Combine like terms: n + -1n = 0
81 + 18n = (7 + 0)((n + 7) + n) + 64
81 + 18n = (7)((n + 7) + n) + 64

Reorder the terms:
81 + 18n = 7((7 + n) + n) + 64

Remove parenthesis around (7 + n)
81 + 18n = 7(7 + n + n) + 64

Combine like terms: n + n = 2n
81 + 18n = 7(7 + 2n) + 64
81 + 18n = (7 * 7 + 2n * 7) + 64
81 + 18n = (49 + 14n) + 64

Reorder the terms:
81 + 18n = 49 + 64 + 14n

Combine like terms: 49 + 64 = 113
81 + 18n = 113 + 14n

Solving
81 + 18n = 113 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
81 + 18n + -14n = 113 + 14n + -14n

Combine like terms: 18n + -14n = 4n
81 + 4n = 113 + 14n + -14n

Combine like terms: 14n + -14n = 0
81 + 4n = 113 + 0
81 + 4n = 113

Add '-81' to each side of the equation.
81 + -81 + 4n = 113 + -81

Combine like terms: 81 + -81 = 0
0 + 4n = 113 + -81
4n = 113 + -81

Combine like terms: 113 + -81 = 32
4n = 32

Divide each side by '4'.
n = 8

Simplifying
n = 8

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