5(3n+1)=9(6n+1)+1

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Solution for 5(3n+1)=9(6n+1)+1 equation:


Simplifying
5(3n + 1) = 9(6n + 1) + 1

Reorder the terms:
5(1 + 3n) = 9(6n + 1) + 1
(1 * 5 + 3n * 5) = 9(6n + 1) + 1
(5 + 15n) = 9(6n + 1) + 1

Reorder the terms:
5 + 15n = 9(1 + 6n) + 1
5 + 15n = (1 * 9 + 6n * 9) + 1
5 + 15n = (9 + 54n) + 1

Reorder the terms:
5 + 15n = 9 + 1 + 54n

Combine like terms: 9 + 1 = 10
5 + 15n = 10 + 54n

Solving
5 + 15n = 10 + 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 + 15n + -54n = 10 + 54n + -54n

Combine like terms: 15n + -54n = -39n
5 + -39n = 10 + 54n + -54n

Combine like terms: 54n + -54n = 0
5 + -39n = 10 + 0
5 + -39n = 10

Add '-5' to each side of the equation.
5 + -5 + -39n = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -39n = 10 + -5
-39n = 10 + -5

Combine like terms: 10 + -5 = 5
-39n = 5

Divide each side by '-39'.
n = -0.1282051282

Simplifying
n = -0.1282051282

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