Final answer:
To solve the equation 8q + 11 = 75, subtract 11 from both sides and then divide both sides by 8 to find that q = 8. Checking the solution, 8(8) + 11 = 75, confirms its correctness.
Step-by-step explanation:
To solve the equation 8q + 11 = 75, we need to isolate the variable q.
- First, subtract 11 from both sides of the equation: 8q = 64.
- Next, divide both sides by 8: q = 64/8 = 8.
So the solution to the equation is q = 8.
To check our solution, we substitute q = 8 back into the original equation: 8(8) + 11 = 75. This simplifies to 64 + 11 = 75, which is true.