3(2n+5)=9(5n+2)+3

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Solution for 3(2n+5)=9(5n+2)+3 equation: 


Simplifying
3(2n + 5) = 9(5n + 2) + 3

Reorder the terms:
3(5 + 2n) = 9(5n + 2) + 3
(5 * 3 + 2n * 3) = 9(5n + 2) + 3
(15 + 6n) = 9(5n + 2) + 3

Reorder the terms:
15 + 6n = 9(2 + 5n) + 3
15 + 6n = (2 * 9 + 5n * 9) + 3
15 + 6n = (18 + 45n) + 3

Reorder the terms:
15 + 6n = 18 + 3 + 45n

Combine like terms: 18 + 3 = 21
15 + 6n = 21 + 45n

Solving
15 + 6n = 21 + 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.
15 + 6n + -45n = 21 + 45n + -45n

Combine like terms: 6n + -45n = -39n
15 + -39n = 21 + 45n + -45n

Combine like terms: 45n + -45n = 0
15 + -39n = 21 + 0
15 + -39n = 21

Add '-15' to each side of the equation.
15 + -15 + -39n = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -39n = 21 + -15
-39n = 21 + -15

Combine like terms: 21 + -15 = 6
-39n = 6

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

Simplifying
n = -0.1538461538

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