8(n+6)+n=-40-2n

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Solution for 8(n+6)+n=-40-2n equation:


Simplifying
8(n + 6) + n = -40 + -2n

Reorder the terms:
8(6 + n) + n = -40 + -2n
(6 * 8 + n * 8) + n = -40 + -2n
(48 + 8n) + n = -40 + -2n

Combine like terms: 8n + n = 9n
48 + 9n = -40 + -2n

Solving
48 + 9n = -40 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
48 + 9n + 2n = -40 + -2n + 2n

Combine like terms: 9n + 2n = 11n
48 + 11n = -40 + -2n + 2n

Combine like terms: -2n + 2n = 0
48 + 11n = -40 + 0
48 + 11n = -40

Add '-48' to each side of the equation.
48 + -48 + 11n = -40 + -48

Combine like terms: 48 + -48 = 0
0 + 11n = -40 + -48
11n = -40 + -48

Combine like terms: -40 + -48 = -88
11n = -88

Divide each side by '11'.
n = -8

Simplifying
n = -8

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