5(2n+1)=9(6n+1)+7

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Solution for 5(2n+1)=9(6n+1)+7 equation: 


Simplifying
5(2n + 1) = 9(6n + 1) + 7

Reorder the terms:
5(1 + 2n) = 9(6n + 1) + 7
(1 * 5 + 2n * 5) = 9(6n + 1) + 7
(5 + 10n) = 9(6n + 1) + 7

Reorder the terms:
5 + 10n = 9(1 + 6n) + 7
5 + 10n = (1 * 9 + 6n * 9) + 7
5 + 10n = (9 + 54n) + 7

Reorder the terms:
5 + 10n = 9 + 7 + 54n

Combine like terms: 9 + 7 = 16
5 + 10n = 16 + 54n

Solving
5 + 10n = 16 + 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.
5 + 10n + -54n = 16 + 54n + -54n

Combine like terms: 10n + -54n = -44n
5 + -44n = 16 + 54n + -54n

Combine like terms: 54n + -54n = 0
5 + -44n = 16 + 0
5 + -44n = 16

Add '-5' to each side of the equation.
5 + -5 + -44n = 16 + -5

Combine like terms: 5 + -5 = 0
0 + -44n = 16 + -5
-44n = 16 + -5

Combine like terms: 16 + -5 = 11
-44n = 11

Divide each side by '-44'.
n = -0.25

Simplifying
n = -0.25

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