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

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


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

Reorder the terms:
5(5 + 2n) = 9(5n + 9) + 1
(5 * 5 + 2n * 5) = 9(5n + 9) + 1
(25 + 10n) = 9(5n + 9) + 1

Reorder the terms:
25 + 10n = 9(9 + 5n) + 1
25 + 10n = (9 * 9 + 5n * 9) + 1
25 + 10n = (81 + 45n) + 1

Reorder the terms:
25 + 10n = 81 + 1 + 45n

Combine like terms: 81 + 1 = 82
25 + 10n = 82 + 45n

Solving
25 + 10n = 82 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
25 + 10n + -45n = 82 + 45n + -45n

Combine like terms: 10n + -45n = -35n
25 + -35n = 82 + 45n + -45n

Combine like terms: 45n + -45n = 0
25 + -35n = 82 + 0
25 + -35n = 82

Add '-25' to each side of the equation.
25 + -25 + -35n = 82 + -25

Combine like terms: 25 + -25 = 0
0 + -35n = 82 + -25
-35n = 82 + -25

Combine like terms: 82 + -25 = 57
-35n = 57

Divide each side by '-35'.
n = -1.628571429

Simplifying
n = -1.628571429

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