10. \( 7 q-3+q=2 \)

To solve the equation \( 7q - 3 + q = 2 \), let's combine like terms first. Adding \( 7q \) and \( q \) gives us \( 8q - 3 = 2 \). Next, we'll isolate \( 8q \) by adding 3 to both sides, resulting in \( 8q = 5 \). Finally, divide both sides by 8 to find \( q = \frac{5}{8} \). Keep in mind, when solving equations, it’s vital to maintain balance on both sides! One common mistake is forgetting to apply operations to both sides of the equation, leading to incorrect results. Always double-check your steps, and you’ll be solving equations like a pro!