5(n+3)+8(n+3)=

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Solution for 5(n+3)+8(n+3)= equation:


Simplifying
5(n + 3) + 8(n + 3) = 0

Reorder the terms:
5(3 + n) + 8(n + 3) = 0
(3 * 5 + n * 5) + 8(n + 3) = 0
(15 + 5n) + 8(n + 3) = 0

Reorder the terms:
15 + 5n + 8(3 + n) = 0
15 + 5n + (3 * 8 + n * 8) = 0
15 + 5n + (24 + 8n) = 0

Reorder the terms:
15 + 24 + 5n + 8n = 0

Combine like terms: 15 + 24 = 39
39 + 5n + 8n = 0

Combine like terms: 5n + 8n = 13n
39 + 13n = 0

Solving
39 + 13n = 0

Solving for variable 'n'.

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

Add '-39' to each side of the equation.
39 + -39 + 13n = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 13n = 0 + -39
13n = 0 + -39

Combine like terms: 0 + -39 = -39
13n = -39

Divide each side by '13'.
n = -3

Simplifying
n = -3

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