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

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


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

Reorder the terms:
5(5 + 3n) = 6(9n + 5) + 1
(5 * 5 + 3n * 5) = 6(9n + 5) + 1
(25 + 15n) = 6(9n + 5) + 1

Reorder the terms:
25 + 15n = 6(5 + 9n) + 1
25 + 15n = (5 * 6 + 9n * 6) + 1
25 + 15n = (30 + 54n) + 1

Reorder the terms:
25 + 15n = 30 + 1 + 54n

Combine like terms: 30 + 1 = 31
25 + 15n = 31 + 54n

Solving
25 + 15n = 31 + 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.
25 + 15n + -54n = 31 + 54n + -54n

Combine like terms: 15n + -54n = -39n
25 + -39n = 31 + 54n + -54n

Combine like terms: 54n + -54n = 0
25 + -39n = 31 + 0
25 + -39n = 31

Add '-25' to each side of the equation.
25 + -25 + -39n = 31 + -25

Combine like terms: 25 + -25 = 0
0 + -39n = 31 + -25
-39n = 31 + -25

Combine like terms: 31 + -25 = 6
-39n = 6

Divide each side by '-39'.
n = -0.1538461538

Simplifying
n = -0.1538461538

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