2(3n+1)=9(5n+4)+8

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Solution for 2(3n+1)=9(5n+4)+8 equation: 


Simplifying
2(3n + 1) = 9(5n + 4) + 8

Reorder the terms:
2(1 + 3n) = 9(5n + 4) + 8
(1 * 2 + 3n * 2) = 9(5n + 4) + 8
(2 + 6n) = 9(5n + 4) + 8

Reorder the terms:
2 + 6n = 9(4 + 5n) + 8
2 + 6n = (4 * 9 + 5n * 9) + 8
2 + 6n = (36 + 45n) + 8

Reorder the terms:
2 + 6n = 36 + 8 + 45n

Combine like terms: 36 + 8 = 44
2 + 6n = 44 + 45n

Solving
2 + 6n = 44 + 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.
2 + 6n + -45n = 44 + 45n + -45n

Combine like terms: 6n + -45n = -39n
2 + -39n = 44 + 45n + -45n

Combine like terms: 45n + -45n = 0
2 + -39n = 44 + 0
2 + -39n = 44

Add '-2' to each side of the equation.
2 + -2 + -39n = 44 + -2

Combine like terms: 2 + -2 = 0
0 + -39n = 44 + -2
-39n = 44 + -2

Combine like terms: 44 + -2 = 42
-39n = 42

Divide each side by '-39'.
n = -1.076923077

Simplifying
n = -1.076923077

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