Final Answer:
For the equations provided:
1. There are no true values for the first equation: y - 6 = -3.
2. There are true values for the second equation: y + 9 = v + 2.
3. There are no true values for the third equation: 3(n + 1) = 3n + 1.
4. There are no true values for the fourth equation: 1/2 + x = 1/3 + x.
5. There are true values for the fifth equation: 1/4(20d + 4) = 5.
Step-by-step explanation:
1. The equation y - 6 = -3 implies that y equals 3 when 6 is added to both sides. However, there are no solutions that make this equation true since no value for y satisfies this condition.
2. The equation y + 9 = v + 2 simplifies to y = v - 7. In this equation, there are multiple values for y and v that could make it true, as it doesn't specify a single solution.
3. The equation 3(n + 1) = 3n + 1, when simplified, leads to a contradiction (0 = 1). Thus, no value of n makes this equation true.
4. The equation 1/2 + x = 1/3 + x does not have a solution that satisfies the equation. When both sides are equated, it results in a contradiction.
5. The equation 1/4(20d + 4) = 5 simplifies to 5d + 1 = 5, and solving it yields a single solution: d = 0.8. This value satisfies the equation, making it true.
For some equations, no valid solution exists, leading to contradictions or inconsistencies, while others may have multiple valid solutions or a singular solution that satisfies the equation.