The problem is to solve the following linear equation for $n$: $5(n+2) - 15 = 4 - (2n - 5)$

1. Problem Description

The problem is to solve the following linear equation for $n$:

$5(n+2) - 15 = 4 - (2n - 5)$

2. Solution Steps

We want to solve the equation $5(n+2) - 15 = 4 - (2n - 5)$ for $n$.

First, we distribute the numbers outside the parentheses:

$5n + 10 - 15 = 4 - 2n + 5$

Combine the constant terms on both sides of the equation:

$5n - 5 = 9 - 2n$

Add $2n$ to both sides of the equation:

$5n + 2n - 5 = 9 - 2n + 2n$

$7n - 5 = 9$

Add 5 to both sides of the equation:

$7n - 5 + 5 = 9 + 5$

$7n = 14$

Divide both sides by 7:

$\frac{7n}{7} = \frac{14}{7}$

$n = 2$

3. Final Answer

$n = 2$