To add the expressions \((-q + 5)\) and \((-3q + 6)\), you'll want to combine the like terms. Here's the step-by-step process:
-
Write the expressions together: \[ (-q + 5) + (-3q + 6) \]
-
Remove the parentheses: \[ -q + 5 - 3q + 6 \]
-
Combine the like terms. The like terms here are the \(q\) terms and the constant terms:
- For the \(q\) terms: \(-q - 3q = -4q\)
- For the constant terms: \(5 + 6 = 11\)
-
Write the combined expression: \[ -4q + 11 \]
Thus, the final result is: \[ \boxed{-4q + 11} \]