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

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


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

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

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

Reorder the terms:
5 + 10n = 6 + 6 + 54n

Combine like terms: 6 + 6 = 12
5 + 10n = 12 + 54n

Solving
5 + 10n = 12 + 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 = 12 + 54n + -54n

Combine like terms: 10n + -54n = -44n
5 + -44n = 12 + 54n + -54n

Combine like terms: 54n + -54n = 0
5 + -44n = 12 + 0
5 + -44n = 12

Add '-5' to each side of the equation.
5 + -5 + -44n = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -44n = 12 + -5
-44n = 12 + -5

Combine like terms: 12 + -5 = 7
-44n = 7

Divide each side by '-44'.
n = -0.1590909091

Simplifying
n = -0.1590909091

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