8(2n+1)=9(6n+5)+2

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Solution for 8(2n+1)=9(6n+5)+2 equation:


Simplifying
8(2n + 1) = 9(6n + 5) + 2

Reorder the terms:
8(1 + 2n) = 9(6n + 5) + 2
(1 * 8 + 2n * 8) = 9(6n + 5) + 2
(8 + 16n) = 9(6n + 5) + 2

Reorder the terms:
8 + 16n = 9(5 + 6n) + 2
8 + 16n = (5 * 9 + 6n * 9) + 2
8 + 16n = (45 + 54n) + 2

Reorder the terms:
8 + 16n = 45 + 2 + 54n

Combine like terms: 45 + 2 = 47
8 + 16n = 47 + 54n

Solving
8 + 16n = 47 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
8 + 16n + -54n = 47 + 54n + -54n

Combine like terms: 16n + -54n = -38n
8 + -38n = 47 + 54n + -54n

Combine like terms: 54n + -54n = 0
8 + -38n = 47 + 0
8 + -38n = 47

Add '-8' to each side of the equation.
8 + -8 + -38n = 47 + -8

Combine like terms: 8 + -8 = 0
0 + -38n = 47 + -8
-38n = 47 + -8

Combine like terms: 47 + -8 = 39
-38n = 39

Divide each side by '-38'.
n = -1.026315789

Simplifying
n = -1.026315789

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