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

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: \[ \boxed{0} \]