5(n+2)+8(n+9)=

Solution for 5(n+2)+8(n+9)= equation:

Simplifying
5(n + 2) + 8(n + 9) = 0

Reorder the terms:
5(2 + n) + 8(n + 9) = 0
(2 * 5 + n * 5) + 8(n + 9) = 0
(10 + 5n) + 8(n + 9) = 0

Reorder the terms:
10 + 5n + 8(9 + n) = 0
10 + 5n + (9 * 8 + n * 8) = 0
10 + 5n + (72 + 8n) = 0

Reorder the terms:
10 + 72 + 5n + 8n = 0

Combine like terms: 10 + 72 = 82
82 + 5n + 8n = 0

Combine like terms: 5n + 8n = 13n
82 + 13n = 0

Solving
82 + 13n = 0

Solving for variable 'n'.

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

Add '-82' to each side of the equation.
82 + -82 + 13n = 0 + -82

Combine like terms: 82 + -82 = 0
0 + 13n = 0 + -82
13n = 0 + -82

Combine like terms: 0 + -82 = -82
13n = -82

Divide each side by '13'.
n = -6.307692308

Simplifying
n = -6.307692308