Step 1. Subtract \(3n\) from both sides
\(46=1+8n-3n\)
Step 2. Simplify \(1+8n-3n\) to \(1+5n\)
\(46=1+5n\)
Step 3. Subtract 1 from both sides
\(46-1=5n\)
Step 4. Simplify \(46-1\) to \(45\)
\(45=5n\)
Step 5. Divide both sides by 5
\(\frac{45}{5} =n\)
Step 6. Simplify \(\frac{45}{5}\) to \(9\)
\(9=n\)
Step 7. Switch sides
\(n=9\)
Done! :)