Question

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Part 1
Solve the equation.
8nminus​(5nplus7​)equals14

Answer 1

To solve the equation \( 8n - (5n + 7) = 14 \), follow these steps:

1. Distribute the negative sign on the left side:
\[
8n - 5n - 7 = 14
\]

2. Combine like terms:
\[
(8n - 5n) - 7 = 14
\]
\[
3n - 7 = 14
\]

3. Add 7 to both sides to isolate the term with \( n \):
\[
3n - 7 + 7 = 14 + 7
\]
\[
3n = 21
\]

4. Divide both sides by 3:
\[
n = \frac{21}{3}
\]
\[
n = 7
\]

So, the solution to the equation is \( n = 7 \).