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

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


Simplifying
2(3n + 4) = 9(4n + 4) + 2

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

Reorder the terms:
8 + 6n = 9(4 + 4n) + 2
8 + 6n = (4 * 9 + 4n * 9) + 2
8 + 6n = (36 + 36n) + 2

Reorder the terms:
8 + 6n = 36 + 2 + 36n

Combine like terms: 36 + 2 = 38
8 + 6n = 38 + 36n

Solving
8 + 6n = 38 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
8 + 6n + -36n = 38 + 36n + -36n

Combine like terms: 6n + -36n = -30n
8 + -30n = 38 + 36n + -36n

Combine like terms: 36n + -36n = 0
8 + -30n = 38 + 0
8 + -30n = 38

Add '-8' to each side of the equation.
8 + -8 + -30n = 38 + -8

Combine like terms: 8 + -8 = 0
0 + -30n = 38 + -8
-30n = 38 + -8

Combine like terms: 38 + -8 = 30
-30n = 30

Divide each side by '-30'.
n = -1

Simplifying
n = -1

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