5(3n+1)=9(5n+8)+3

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Solution for 5(3n+1)=9(5n+8)+3 equation:


Simplifying
5(3n + 1) = 9(5n + 8) + 3

Reorder the terms:
5(1 + 3n) = 9(5n + 8) + 3
(1 * 5 + 3n * 5) = 9(5n + 8) + 3
(5 + 15n) = 9(5n + 8) + 3

Reorder the terms:
5 + 15n = 9(8 + 5n) + 3
5 + 15n = (8 * 9 + 5n * 9) + 3
5 + 15n = (72 + 45n) + 3

Reorder the terms:
5 + 15n = 72 + 3 + 45n

Combine like terms: 72 + 3 = 75
5 + 15n = 75 + 45n

Solving
5 + 15n = 75 + 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.
5 + 15n + -45n = 75 + 45n + -45n

Combine like terms: 15n + -45n = -30n
5 + -30n = 75 + 45n + -45n

Combine like terms: 45n + -45n = 0
5 + -30n = 75 + 0
5 + -30n = 75

Add '-5' to each side of the equation.
5 + -5 + -30n = 75 + -5

Combine like terms: 5 + -5 = 0
0 + -30n = 75 + -5
-30n = 75 + -5

Combine like terms: 75 + -5 = 70
-30n = 70

Divide each side by '-30'.
n = -2.333333333

Simplifying
n = -2.333333333

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