Solve the equation.
8nminus​(4nplus5​)equals3

Let's solve the equation:

\[
8n - (4n + 5) = 3
\]

### Step 1: Distribute the negative sign across the parentheses
\[
8n - 4n - 5 = 3
\]

### Step 2: Combine like terms
Combine \(8n\) and \(-4n\):
\[
4n - 5 = 3
\]

### Step 3: Isolate the variable term
Add 5 to both sides to isolate the term with \(n\):
\[
4n = 8
\]

### Step 4: Solve for \(n\)
Divide both sides by 4:
\[
n = 2
\]

So, the solution to the equation is \( n = 2 \).

Would you like more details or have any questions?

Here are five related questions:
1. How would the solution change if the equation was \(8n - (4n + 7) = 3\)?
2. Can you solve the equation \(10n - (3n + 4) = 5\)?
3. What happens if the equation includes a multiplication inside the parentheses, like \(8n - 2(4n + 5) = 3\)?
4. How do you solve equations with variables on both sides, such as \(6n - 3 = 4n + 5\)?
5. Can you demonstrate solving an equation with fractions, like \(\frac{3n}{4} - \frac{5}{2} = 1\)?

**Tip:** Always remember to distribute the negative sign across all terms within parentheses before combining like terms.

Learn how to solve the equation 8n - (4n + 5) = 3 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations and combining like terms. Suitable for students in Grades 7-9.

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