To identify who is correct about the solution sets of the linear equations, we will solve each equation one by one.
**Equation A:**
\[ 3(4-5h) - 7 = -12 + 2h \]
Expanding the left side:
\[ 12 - 15h - 7 = -12 + 2h \]
\[ 5 - 15h = -12 + 2h \]
Now, rearranging gives:
\[ 5 + 12 = 15h + 2h \]
\[ 17 = 17h \]
Solving for \( h \):
\[ h = 1 \]
**Equation B:**
\[ 2(p-3) - 1 = 6p + 142 \]
Expanding the left side:
\[ 2p - 6 - 1 = 6p + 142 \]
\[ 2p - 7 = 6p + 142 \]
Now, rearranging:
\[ -7 - 142 = 6p - 2p \]
\[ -149 = 4p \]
Solving for \( p \):
\[ p = -\frac{149}{4} \]
**Equation C:**
\[ 23v - 3 + 83 = -1 \]
\[ 23v + 80 = -1 \]
Now, rearranging gives:
\[ 23v = -1 - 80 \]
\[ 23v = -81 \]
Solving for \( v \):
\[ v = -\frac{81}{23} \]
Now we can summarize the solutions:
- **Equation has the solution \( h = 1 \).
- **Equation B** has the solution \( p = -\frac{149}{4} \).
- **Equation C** has the solution \( v = -\frac{81}{23} \).
Now let's analyze the claims:
- **Tamara** says Equation A and Equation C have the same solution. (False)
- **Payton** says Equation B and Equation C have the same solution. (False)
- **Krish** says all three have the same solution. (False)
- **Haruki** says that none of the equations have the same solution. (True)
In conclusion, the correct answer is **Haruki**.