5(n+7)+8(n+3)=

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Solution for 5(n+7)+8(n+3)= equation:


Simplifying
5(n + 7) + 8(n + 3) = 0

Reorder the terms:
5(7 + n) + 8(n + 3) = 0
(7 * 5 + n * 5) + 8(n + 3) = 0
(35 + 5n) + 8(n + 3) = 0

Reorder the terms:
35 + 5n + 8(3 + n) = 0
35 + 5n + (3 * 8 + n * 8) = 0
35 + 5n + (24 + 8n) = 0

Reorder the terms:
35 + 24 + 5n + 8n = 0

Combine like terms: 35 + 24 = 59
59 + 5n + 8n = 0

Combine like terms: 5n + 8n = 13n
59 + 13n = 0

Solving
59 + 13n = 0

Solving for variable 'n'.

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

Add '-59' to each side of the equation.
59 + -59 + 13n = 0 + -59

Combine like terms: 59 + -59 = 0
0 + 13n = 0 + -59
13n = 0 + -59

Combine like terms: 0 + -59 = -59
13n = -59

Divide each side by '13'.
n = -4.538461538

Simplifying
n = -4.538461538

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