Question

-10n +3 (8 + 8n)=-6(n-4)

Answer 1

To solve the equation \(-10n + 3(8 + 8n) = -6(n - 4)\), we will start by simplifying both sides of the equation.

**Step 1: Distribute on both sides.**

The left side:
\[
-10n + 3(8 + 8n) = -10n + 24 + 24n = 14n + 24
\]

The right side:
\[
-6(n - 4) = -6n + 24
\]

Now we can rewrite the equation:
\[
14n + 24 = -6n + 24
\]

**Step 2: Move all terms involving \(n\) to one side, and constant terms to the other side.**

Add \(6n\) to both sides:
\[
14n + 6n + 24 = 24
\]
This simplifies to:
\[
20n + 24 = 24
\]

Next, subtract \(24\) from both sides:
\[
20n = 0
\]

**Step 3: Solve for \(n\).**

Now, divide both sides by \(20\):
\[
n = 0
\]

So, the solution is:
\[
\boxed{0}
\]