5(n+1)+8(n+8)=

Solution for 5(n+1)+8(n+8)= equation:

Simplifying
5(n + 1) + 8(n + 8) = 0

Reorder the terms:
5(1 + n) + 8(n + 8) = 0
(1 * 5 + n * 5) + 8(n + 8) = 0
(5 + 5n) + 8(n + 8) = 0

Reorder the terms:
5 + 5n + 8(8 + n) = 0
5 + 5n + (8 * 8 + n * 8) = 0
5 + 5n + (64 + 8n) = 0

Reorder the terms:
5 + 64 + 5n + 8n = 0

Combine like terms: 5 + 64 = 69
69 + 5n + 8n = 0

Combine like terms: 5n + 8n = 13n
69 + 13n = 0

Solving
69 + 13n = 0

Solving for variable 'n'.

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

Add '-69' to each side of the equation.
69 + -69 + 13n = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 13n = 0 + -69
13n = 0 + -69

Combine like terms: 0 + -69 = -69
13n = -69

Divide each side by '13'.
n = -5.307692308

Simplifying
n = -5.307692308