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

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


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

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

Reorder the terms:
16 + 16n = 6(2 + 5n) + 6
16 + 16n = (2 * 6 + 5n * 6) + 6
16 + 16n = (12 + 30n) + 6

Reorder the terms:
16 + 16n = 12 + 6 + 30n

Combine like terms: 12 + 6 = 18
16 + 16n = 18 + 30n

Solving
16 + 16n = 18 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
16 + 16n + -30n = 18 + 30n + -30n

Combine like terms: 16n + -30n = -14n
16 + -14n = 18 + 30n + -30n

Combine like terms: 30n + -30n = 0
16 + -14n = 18 + 0
16 + -14n = 18

Add '-16' to each side of the equation.
16 + -16 + -14n = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -14n = 18 + -16
-14n = 18 + -16

Combine like terms: 18 + -16 = 2
-14n = 2

Divide each side by '-14'.
n = -0.1428571429

Simplifying
n = -0.1428571429

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