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

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


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

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

Reorder the terms:
16 + 16n = 8(9 + 9n) + 6
16 + 16n = (9 * 8 + 9n * 8) + 6
16 + 16n = (72 + 72n) + 6

Reorder the terms:
16 + 16n = 72 + 6 + 72n

Combine like terms: 72 + 6 = 78
16 + 16n = 78 + 72n

Solving
16 + 16n = 78 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
16 + 16n + -72n = 78 + 72n + -72n

Combine like terms: 16n + -72n = -56n
16 + -56n = 78 + 72n + -72n

Combine like terms: 72n + -72n = 0
16 + -56n = 78 + 0
16 + -56n = 78

Add '-16' to each side of the equation.
16 + -16 + -56n = 78 + -16

Combine like terms: 16 + -16 = 0
0 + -56n = 78 + -16
-56n = 78 + -16

Combine like terms: 78 + -16 = 62
-56n = 62

Divide each side by '-56'.
n = -1.107142857

Simplifying
n = -1.107142857

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