3(n+6)+6n=-9(2n+10)

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Solution for 3(n+6)+6n=-9(2n+10) equation:


Simplifying
3(n + 6) + 6n = -9(2n + 10)

Reorder the terms:
3(6 + n) + 6n = -9(2n + 10)
(6 * 3 + n * 3) + 6n = -9(2n + 10)
(18 + 3n) + 6n = -9(2n + 10)

Combine like terms: 3n + 6n = 9n
18 + 9n = -9(2n + 10)

Reorder the terms:
18 + 9n = -9(10 + 2n)
18 + 9n = (10 * -9 + 2n * -9)
18 + 9n = (-90 + -18n)

Solving
18 + 9n = -90 + -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
18 + 9n + 18n = -90 + -18n + 18n

Combine like terms: 9n + 18n = 27n
18 + 27n = -90 + -18n + 18n

Combine like terms: -18n + 18n = 0
18 + 27n = -90 + 0
18 + 27n = -90

Add '-18' to each side of the equation.
18 + -18 + 27n = -90 + -18

Combine like terms: 18 + -18 = 0
0 + 27n = -90 + -18
27n = -90 + -18

Combine like terms: -90 + -18 = -108
27n = -108

Divide each side by '27'.
n = -4

Simplifying
n = -4

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