n+2(9+n)+5(30+n)=

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Solution for n+2(9+n)+5(30+n)= equation:


Simplifying
n + 2(9 + n) + 5(30 + n) = 0
n + (9 * 2 + n * 2) + 5(30 + n) = 0
n + (18 + 2n) + 5(30 + n) = 0
n + 18 + 2n + (30 * 5 + n * 5) = 0
n + 18 + 2n + (150 + 5n) = 0

Reorder the terms:
18 + 150 + n + 2n + 5n = 0

Combine like terms: 18 + 150 = 168
168 + n + 2n + 5n = 0

Combine like terms: n + 2n = 3n
168 + 3n + 5n = 0

Combine like terms: 3n + 5n = 8n
168 + 8n = 0

Solving
168 + 8n = 0

Solving for variable 'n'.

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

Add '-168' to each side of the equation.
168 + -168 + 8n = 0 + -168

Combine like terms: 168 + -168 = 0
0 + 8n = 0 + -168
8n = 0 + -168

Combine like terms: 0 + -168 = -168
8n = -168

Divide each side by '8'.
n = -21

Simplifying
n = -21

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