3(2n+4)-2(2n-5)=14

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Solution for 3(2n+4)-2(2n-5)=14 equation: 


Simplifying
3(2n + 4) + -2(2n + -5) = 14

Reorder the terms:
3(4 + 2n) + -2(2n + -5) = 14
(4 * 3 + 2n * 3) + -2(2n + -5) = 14
(12 + 6n) + -2(2n + -5) = 14

Reorder the terms:
12 + 6n + -2(-5 + 2n) = 14
12 + 6n + (-5 * -2 + 2n * -2) = 14
12 + 6n + (10 + -4n) = 14

Reorder the terms:
12 + 10 + 6n + -4n = 14

Combine like terms: 12 + 10 = 22
22 + 6n + -4n = 14

Combine like terms: 6n + -4n = 2n
22 + 2n = 14

Solving
22 + 2n = 14

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + 2n = 14 + -22

Combine like terms: 22 + -22 = 0
0 + 2n = 14 + -22
2n = 14 + -22

Combine like terms: 14 + -22 = -8
2n = -8

Divide each side by '2'.
n = -4

Simplifying
n = -4

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