7(2n+2)=9(6n+8)+5

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Solution for 7(2n+2)=9(6n+8)+5 equation:


Simplifying
7(2n + 2) = 9(6n + 8) + 5

Reorder the terms:
7(2 + 2n) = 9(6n + 8) + 5
(2 * 7 + 2n * 7) = 9(6n + 8) + 5
(14 + 14n) = 9(6n + 8) + 5

Reorder the terms:
14 + 14n = 9(8 + 6n) + 5
14 + 14n = (8 * 9 + 6n * 9) + 5
14 + 14n = (72 + 54n) + 5

Reorder the terms:
14 + 14n = 72 + 5 + 54n

Combine like terms: 72 + 5 = 77
14 + 14n = 77 + 54n

Solving
14 + 14n = 77 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
14 + 14n + -54n = 77 + 54n + -54n

Combine like terms: 14n + -54n = -40n
14 + -40n = 77 + 54n + -54n

Combine like terms: 54n + -54n = 0
14 + -40n = 77 + 0
14 + -40n = 77

Add '-14' to each side of the equation.
14 + -14 + -40n = 77 + -14

Combine like terms: 14 + -14 = 0
0 + -40n = 77 + -14
-40n = 77 + -14

Combine like terms: 77 + -14 = 63
-40n = 63

Divide each side by '-40'.
n = -1.575

Simplifying
n = -1.575

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