How do you solve $5 (n + 8) - 3 (- n - 5) = - 7 n + 4 n$ $5( n + 8 ) - 3 ( - n - 5 ) = - 7 n + 4 n$ ?

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How do you solve $5 (n + 8) - 3 (- n - 5) = - 7 n + 4 n$ $5( n + 8 ) - 3 ( - n - 5 ) = - 7 n + 4 n$ ?

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Answer 1 · 2016-10-13T03:19:11

The solution of the equation is $n = - 5$ $n = -5$ .

Explanation:

Begin by simplifying each side of the equation. On the left side of the equation, distribute the $5$ $5$ and $- 3$ $-3$ , then combine like terms. On the right side of the equation, combine like terms.

$5 (n + 8) - 3 (- n - 5 = - 7 n + 4 n$ $5(n + 8) - 3(-n - 5 = -7n + 4n$
$5 n + 40 + 3 n + 15 = - 3 n$ $5n + 40 + 3n + 15 = -3n$
$8 n + 55 = - 3 n$ $8n + 55 = -3n$

Now solve the equation using inverse operations.
$8 n - 8 n + 55 = - 3 n - 8 n$ $8n - 8n + 55 = -3n - 8n$
$55 = - 11 n$ $55 = -11n$
$\frac{55}{- 11} = \frac{- 11 n}{- 11}$ $55/-11 = (-11n)/-11$
$- 5 = n$ $-5 = n$

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How do you solve $5 (n + 8) - 3 (- n - 5) = - 7 n + 4 n$ $5( n + 8 ) - 3 ( - n - 5 ) = - 7 n + 4 n$ ?

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How do you solve 5(n+8)−3(−n−5)=−7n+4n5( n + 8 ) - 3 ( - n - 5 ) = - 7 n + 4 n?

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Explanation:

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How do you solve $5 (n + 8) - 3 (- n - 5) = - 7 n + 4 n$ $5( n + 8 ) - 3 ( - n - 5 ) = - 7 n + 4 n$ ?