#### Answer

n = $-\frac{3}{5}$

#### Work Step by Step

4(2n + 1) = 3(6n + 3) + 1
Distribute:
8n + 4 = 18n + 9 + 1
Combine like terms:
8n + 4 = 18n + 10
Subtract 18n from both sides:
-10n + 4 = 10
Subtract 4 from both sides:
-10n = 6
Divide both sides by -10:
n = $-\frac{6}{10} = -\frac{3}{5}$