Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.
`r -4 = 0 " "(4, - 4, 8, 0)`

Answer

To solve the equation \( r - 4 = 0 \) and determine which of the given values (4, -4, 8, 0) satisfies the equation, we will substitute each value into the equation and check if the left-hand side (LHS) equals the right-hand side (RHS).

### Step-by-Step Solution:

1. **Substituting the first value (4)**:
\[ r = 4 \implies 4 - 4 = 0 \]
LHS = 0 and RHS = 0. Since LHS = RHS, **4 is a solution**.

2. **Substituting the second value (-4)**:
\[ r = -4 \implies -4 - 4 = -8 \]
LHS = -8 and RHS = 0. Since LHS ≠ RHS, **-4 is not a solution**.

3. **Substituting the third value (8)**:
\[ r = 8 \implies 8 - 4 = 4 \]
LHS = 4 and RHS = 0. Since LHS ≠ RHS, **8 is not a solution**.

4. **Substituting the fourth value (0)**:
\[ r = 0 \implies 0 - 4 = -4 \]
LHS = -4 and RHS = 0. Since LHS ≠ RHS, **0 is not a solution**.

### Conclusion:
The only value that satisfies the equation \( r - 4 = 0 \) is **4**. The other values (-4, 8, and 0) do not satisfy the equation.