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

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


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

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

Reorder the terms:
4 + 4n = 9(4 + 6n) + 8
4 + 4n = (4 * 9 + 6n * 9) + 8
4 + 4n = (36 + 54n) + 8

Reorder the terms:
4 + 4n = 36 + 8 + 54n

Combine like terms: 36 + 8 = 44
4 + 4n = 44 + 54n

Solving
4 + 4n = 44 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
4 + 4n + -54n = 44 + 54n + -54n

Combine like terms: 4n + -54n = -50n
4 + -50n = 44 + 54n + -54n

Combine like terms: 54n + -54n = 0
4 + -50n = 44 + 0
4 + -50n = 44

Add '-4' to each side of the equation.
4 + -4 + -50n = 44 + -4

Combine like terms: 4 + -4 = 0
0 + -50n = 44 + -4
-50n = 44 + -4

Combine like terms: 44 + -4 = 40
-50n = 40

Divide each side by '-50'.
n = -0.8

Simplifying
n = -0.8

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