6(2n+3)=8(9n+6)+8

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Solution for 6(2n+3)=8(9n+6)+8 equation: 


Simplifying
6(2n + 3) = 8(9n + 6) + 8

Reorder the terms:
6(3 + 2n) = 8(9n + 6) + 8
(3 * 6 + 2n * 6) = 8(9n + 6) + 8
(18 + 12n) = 8(9n + 6) + 8

Reorder the terms:
18 + 12n = 8(6 + 9n) + 8
18 + 12n = (6 * 8 + 9n * 8) + 8
18 + 12n = (48 + 72n) + 8

Reorder the terms:
18 + 12n = 48 + 8 + 72n

Combine like terms: 48 + 8 = 56
18 + 12n = 56 + 72n

Solving
18 + 12n = 56 + 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.
18 + 12n + -72n = 56 + 72n + -72n

Combine like terms: 12n + -72n = -60n
18 + -60n = 56 + 72n + -72n

Combine like terms: 72n + -72n = 0
18 + -60n = 56 + 0
18 + -60n = 56

Add '-18' to each side of the equation.
18 + -18 + -60n = 56 + -18

Combine like terms: 18 + -18 = 0
0 + -60n = 56 + -18
-60n = 56 + -18

Combine like terms: 56 + -18 = 38
-60n = 38

Divide each side by '-60'.
n = -0.6333333333

Simplifying
n = -0.6333333333

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