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

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


Simplifying
2(3n + 4) = -1(n + 2)

Reorder the terms:
2(4 + 3n) = -1(n + 2)
(4 * 2 + 3n * 2) = -1(n + 2)
(8 + 6n) = -1(n + 2)

Reorder the terms:
8 + 6n = -1(2 + n)
8 + 6n = (2 * -1 + n * -1)
8 + 6n = (-2 + -1n)

Solving
8 + 6n = -2 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
8 + 6n + n = -2 + -1n + n

Combine like terms: 6n + n = 7n
8 + 7n = -2 + -1n + n

Combine like terms: -1n + n = 0
8 + 7n = -2 + 0
8 + 7n = -2

Add '-8' to each side of the equation.
8 + -8 + 7n = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 7n = -2 + -8
7n = -2 + -8

Combine like terms: -2 + -8 = -10
7n = -10

Divide each side by '7'.
n = -1.428571429

Simplifying
n = -1.428571429

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