To determine who is correct about the solution sets of the equations, we need to solve each equation and see if they have the same solutions.
**Equation A:**
\[ 3(4 - 5h) - 7 = -12 + 2h \]
Expanding the left side:
\[ 12 - 15h - 7 = -12 + 2h \]
\[ 5 - 15h = -12 + 2h \]
Bringing all terms involving \( h \) to one side:
\[ 5 + 12 = 15h + 2h \]
\[ 17 = 17h \]
Dividing by 17:
\[ h = 1 \]
**Solution A: \( h = 1 \)**
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**Equation B:**
\[ 2(p - 3) - 1 = \frac{6p + 14}{2} \]
Multiplying through by 2 to eliminate the fraction:
\[ 4(p - 3) - 2 = 6p + 14 \]
\[ 4p - 12 - 2 = 6p + 14 \]
\[ 4p - 14 = 6p + 14 \]
Bringing all terms involving \( p \) to one side:
\[ 4p - 6p = 14 + 14 \]
\[ -2p = 28 \]
Dividing by -2:
\[ p = -14 \]
**Solution B: \( p = -14 \)**
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**Equation C:**
\[ \frac{2}{3}v - 3 + \frac{8}{3} = -1 \]
Adding 3 to both sides:
\[ \frac{2}{3}v + \frac{8}{3} = 2 \]
Multiplying through by 3 to eliminate the fraction:
\[ 2v + 8 = 6 \]
\[ 2v = 6 - 8 \]
\[ 2v = -2 \]
Dividing by 2:
\[ v = -1 \]
**Solution C: \( v = -1 \)**
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Now we compare the solutions:
- **Equation A:** \( h = 1 \)
- **Equation B:** \( p = -14 \)
- **Equation C:** \( v = -1 \)
No two equations have the same solution:
- Tamara (A and C have the same solution) is incorrect.
- Payton (B and C have the same solution) is incorrect.
- Krish (all three have the same solution) is incorrect.
- Haruki (none have the same solution) is correct.
Therefore, the correct response is:
**Haruki**