9(3n+2)=8(5n+9)+3

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Solution for 9(3n+2)=8(5n+9)+3 equation:


Simplifying
9(3n + 2) = 8(5n + 9) + 3

Reorder the terms:
9(2 + 3n) = 8(5n + 9) + 3
(2 * 9 + 3n * 9) = 8(5n + 9) + 3
(18 + 27n) = 8(5n + 9) + 3

Reorder the terms:
18 + 27n = 8(9 + 5n) + 3
18 + 27n = (9 * 8 + 5n * 8) + 3
18 + 27n = (72 + 40n) + 3

Reorder the terms:
18 + 27n = 72 + 3 + 40n

Combine like terms: 72 + 3 = 75
18 + 27n = 75 + 40n

Solving
18 + 27n = 75 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
18 + 27n + -40n = 75 + 40n + -40n

Combine like terms: 27n + -40n = -13n
18 + -13n = 75 + 40n + -40n

Combine like terms: 40n + -40n = 0
18 + -13n = 75 + 0
18 + -13n = 75

Add '-18' to each side of the equation.
18 + -18 + -13n = 75 + -18

Combine like terms: 18 + -18 = 0
0 + -13n = 75 + -18
-13n = 75 + -18

Combine like terms: 75 + -18 = 57
-13n = 57

Divide each side by '-13'.
n = -4.384615385

Simplifying
n = -4.384615385

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