For each value of w, determine whether it is a solution to 32=24+w

Answer 1

It seems that answer choices are missing from your question, but we can still answer it! For a value of w to be a solution, we need to be able to plug the value in for w and have a true equation.

32 = 24 + w. What number can we plug in for w to make this true.

Without doing any algebra, we know that 32 = 24 + 8, so w must be equal to 8. We could also plug in all of the answer choices and see which one works.

To show the answer algebraically, we can solve by getting w by itself.

32 = 24 + w

To get w by itself, we need to eliminate the 24. We can do this by subtracting. If we subtract on one side, we must do the same on the other side to keep things balanced.

Subtract 24 from both sides

32 - 24 = 24 + w - 24

8 = w because 24 - 24 subtracts to 0.

Answer 2

By subtracting 24 from both sides of the equation, you get 8 = w, so 8 is the only solution for w in this equation.