Final answer:
To determine the number of solutions, we simplify the equation 20 - 6 - 10w + 11, which becomes 25 - 10w = 0, and then solve for w to get w = 2.5. Hence, the equation has one solution.
Step-by-step explanation:
The question 'How many solutions does this equation have? 20-6-10w+11' requires us to simplify and solve the equation for the variable w.
To find the solution, let's combine like terms first:
20 - 6 + 11 = 25, so the equation simplifies to 25 - 10w = 0.
Next, we solve for w:
- Add 10w to both sides of the equation: 25 = 10w
- Divide both sides by 10 to isolate w: w = 2.5
Thus, the equation 20 - 6 - 10w + 11 = 0 has one solution, which is w = 2.5.