2(2n+4)=9(3n+6)8

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Solution for 2(2n+4)=9(3n+6)8 equation: 


Simplifying
2(2n + 4) = 9(3n + 6) * 8

Reorder the terms:
2(4 + 2n) = 9(3n + 6) * 8
(4 * 2 + 2n * 2) = 9(3n + 6) * 8
(8 + 4n) = 9(3n + 6) * 8

Reorder the terms:
8 + 4n = 9(6 + 3n) * 8

Reorder the terms for easier multiplication:
8 + 4n = 9 * 8(6 + 3n)

Multiply 9 * 8
8 + 4n = 72(6 + 3n)
8 + 4n = (6 * 72 + 3n * 72)
8 + 4n = (432 + 216n)

Solving
8 + 4n = 432 + 216n

Solving for variable 'n'.

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

Add '-216n' to each side of the equation.
8 + 4n + -216n = 432 + 216n + -216n

Combine like terms: 4n + -216n = -212n
8 + -212n = 432 + 216n + -216n

Combine like terms: 216n + -216n = 0
8 + -212n = 432 + 0
8 + -212n = 432

Add '-8' to each side of the equation.
8 + -8 + -212n = 432 + -8

Combine like terms: 8 + -8 = 0
0 + -212n = 432 + -8
-212n = 432 + -8

Combine like terms: 432 + -8 = 424
-212n = 424

Divide each side by '-212'.
n = -2

Simplifying
n = -2

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