2n+18=16-4(n+7)

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Solution for 2n+18=16-4(n+7) equation:


Simplifying
2n + 18 = 16 + -4(n + 7)

Reorder the terms:
18 + 2n = 16 + -4(n + 7)

Reorder the terms:
18 + 2n = 16 + -4(7 + n)
18 + 2n = 16 + (7 * -4 + n * -4)
18 + 2n = 16 + (-28 + -4n)

Combine like terms: 16 + -28 = -12
18 + 2n = -12 + -4n

Solving
18 + 2n = -12 + -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.
18 + 2n + 4n = -12 + -4n + 4n

Combine like terms: 2n + 4n = 6n
18 + 6n = -12 + -4n + 4n

Combine like terms: -4n + 4n = 0
18 + 6n = -12 + 0
18 + 6n = -12

Add '-18' to each side of the equation.
18 + -18 + 6n = -12 + -18

Combine like terms: 18 + -18 = 0
0 + 6n = -12 + -18
6n = -12 + -18

Combine like terms: -12 + -18 = -30
6n = -30

Divide each side by '6'.
n = -5

Simplifying
n = -5

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