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

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


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

Reorder the terms:
9(1 + 2n) = 8(6n + 8) + 2
(1 * 9 + 2n * 9) = 8(6n + 8) + 2
(9 + 18n) = 8(6n + 8) + 2

Reorder the terms:
9 + 18n = 8(8 + 6n) + 2
9 + 18n = (8 * 8 + 6n * 8) + 2
9 + 18n = (64 + 48n) + 2

Reorder the terms:
9 + 18n = 64 + 2 + 48n

Combine like terms: 64 + 2 = 66
9 + 18n = 66 + 48n

Solving
9 + 18n = 66 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
9 + 18n + -48n = 66 + 48n + -48n

Combine like terms: 18n + -48n = -30n
9 + -30n = 66 + 48n + -48n

Combine like terms: 48n + -48n = 0
9 + -30n = 66 + 0
9 + -30n = 66

Add '-9' to each side of the equation.
9 + -9 + -30n = 66 + -9

Combine like terms: 9 + -9 = 0
0 + -30n = 66 + -9
-30n = 66 + -9

Combine like terms: 66 + -9 = 57
-30n = 57

Divide each side by '-30'.
n = -1.9

Simplifying
n = -1.9

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