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

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


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

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

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

Reorder the terms:
8 + 6n = 6 + -4 + 3n

Combine like terms: 6 + -4 = 2
8 + 6n = 2 + 3n

Solving
8 + 6n = 2 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
8 + 6n + -3n = 2 + 3n + -3n

Combine like terms: 6n + -3n = 3n
8 + 3n = 2 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + 3n = 2 + 0
8 + 3n = 2

Add '-8' to each side of the equation.
8 + -8 + 3n = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 3n = 2 + -8
3n = 2 + -8

Combine like terms: 2 + -8 = -6
3n = -6

Divide each side by '3'.
n = -2

Simplifying
n = -2

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