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

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


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

Reorder the terms:
8(5 + 2n) = 8(6n + 6) + 9
(5 * 8 + 2n * 8) = 8(6n + 6) + 9
(40 + 16n) = 8(6n + 6) + 9

Reorder the terms:
40 + 16n = 8(6 + 6n) + 9
40 + 16n = (6 * 8 + 6n * 8) + 9
40 + 16n = (48 + 48n) + 9

Reorder the terms:
40 + 16n = 48 + 9 + 48n

Combine like terms: 48 + 9 = 57
40 + 16n = 57 + 48n

Solving
40 + 16n = 57 + 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.
40 + 16n + -48n = 57 + 48n + -48n

Combine like terms: 16n + -48n = -32n
40 + -32n = 57 + 48n + -48n

Combine like terms: 48n + -48n = 0
40 + -32n = 57 + 0
40 + -32n = 57

Add '-40' to each side of the equation.
40 + -40 + -32n = 57 + -40

Combine like terms: 40 + -40 = 0
0 + -32n = 57 + -40
-32n = 57 + -40

Combine like terms: 57 + -40 = 17
-32n = 17

Divide each side by '-32'.
n = -0.53125

Simplifying
n = -0.53125

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