9(2n+1)=7(6n+8)+5

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Solution for 9(2n+1)=7(6n+8)+5 equation: 


Simplifying
9(2n + 1) = 7(6n + 8) + 5

Reorder the terms:
9(1 + 2n) = 7(6n + 8) + 5
(1 * 9 + 2n * 9) = 7(6n + 8) + 5
(9 + 18n) = 7(6n + 8) + 5

Reorder the terms:
9 + 18n = 7(8 + 6n) + 5
9 + 18n = (8 * 7 + 6n * 7) + 5
9 + 18n = (56 + 42n) + 5

Reorder the terms:
9 + 18n = 56 + 5 + 42n

Combine like terms: 56 + 5 = 61
9 + 18n = 61 + 42n

Solving
9 + 18n = 61 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
9 + 18n + -42n = 61 + 42n + -42n

Combine like terms: 18n + -42n = -24n
9 + -24n = 61 + 42n + -42n

Combine like terms: 42n + -42n = 0
9 + -24n = 61 + 0
9 + -24n = 61

Add '-9' to each side of the equation.
9 + -9 + -24n = 61 + -9

Combine like terms: 9 + -9 = 0
0 + -24n = 61 + -9
-24n = 61 + -9

Combine like terms: 61 + -9 = 52
-24n = 52

Divide each side by '-24'.
n = -2.166666667

Simplifying
n = -2.166666667

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