2(n+7)=-(4n+8)

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Solution for 2(n+7)=-(4n+8) equation:


Simplifying
2(n + 7) = -1(4n + 8)

Reorder the terms:
2(7 + n) = -1(4n + 8)
(7 * 2 + n * 2) = -1(4n + 8)
(14 + 2n) = -1(4n + 8)

Reorder the terms:
14 + 2n = -1(8 + 4n)
14 + 2n = (8 * -1 + 4n * -1)
14 + 2n = (-8 + -4n)

Solving
14 + 2n = -8 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
14 + 2n + 4n = -8 + -4n + 4n

Combine like terms: 2n + 4n = 6n
14 + 6n = -8 + -4n + 4n

Combine like terms: -4n + 4n = 0
14 + 6n = -8 + 0
14 + 6n = -8

Add '-14' to each side of the equation.
14 + -14 + 6n = -8 + -14

Combine like terms: 14 + -14 = 0
0 + 6n = -8 + -14
6n = -8 + -14

Combine like terms: -8 + -14 = -22
6n = -22

Divide each side by '6'.
n = -3.666666667

Simplifying
n = -3.666666667

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