Final answer:
To solve the equation 2.22 - 12.2 + 7 = 0, we simplify the expression and rewrite it in the form 2(2 - p) + 9 = 0. Solving for p gives us p = 4.25, so the value of q is 4.25.
Step-by-step explanation:
To solve the equation 2.22 - 12.2 + 7 = 0, we can start by simplifying the expression on the left side: 2.22 - 12.2 + 7 = -2.98 + 7 = 4.02.
Now, we can rewrite the equation in the form 2(2 - p) + 9 = 0. In order for the equation to hold true, the expression inside the parentheses must be equal to -4.5. This can be achieved by setting 2 - p = -2.25.
Solving for p, we subtract 2 from both sides: -p = -2.25 - 2 which simplifies to -p = -4.25. Finally, dividing both sides by -1 gives us p = 4.25. So the value of q is 4.25.