2(2n+4)=8(9n+9)+9

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Solution for 2(2n+4)=8(9n+9)+9 equation:


Simplifying
2(2n + 4) = 8(9n + 9) + 9

Reorder the terms:
2(4 + 2n) = 8(9n + 9) + 9
(4 * 2 + 2n * 2) = 8(9n + 9) + 9
(8 + 4n) = 8(9n + 9) + 9

Reorder the terms:
8 + 4n = 8(9 + 9n) + 9
8 + 4n = (9 * 8 + 9n * 8) + 9
8 + 4n = (72 + 72n) + 9

Reorder the terms:
8 + 4n = 72 + 9 + 72n

Combine like terms: 72 + 9 = 81
8 + 4n = 81 + 72n

Solving
8 + 4n = 81 + 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.
8 + 4n + -72n = 81 + 72n + -72n

Combine like terms: 4n + -72n = -68n
8 + -68n = 81 + 72n + -72n

Combine like terms: 72n + -72n = 0
8 + -68n = 81 + 0
8 + -68n = 81

Add '-8' to each side of the equation.
8 + -8 + -68n = 81 + -8

Combine like terms: 8 + -8 = 0
0 + -68n = 81 + -8
-68n = 81 + -8

Combine like terms: 81 + -8 = 73
-68n = 73

Divide each side by '-68'.
n = -1.073529412

Simplifying
n = -1.073529412

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