Final answer:
To solve for q in the equation 8q-7=7q-10, isolate the variable by combining like terms and perform operations to solve for q, which is -3.
Step-by-step explanation:
To solve for q in the equation 8q-7=7q-10, we need to isolate the variable q on one side of the equation. First, we can simplify the equation by combining like terms. Subtract 7q from both sides to get 8q-7q-7=7q-7q-10. This simplifies to q-7=-10. Next, we can add 7 to both sides to get q-7+7=-10+7. This simplifies to q=-3. Therefore, the value of q is -3.