To determine who is correct about the solution sets of the equations, we need to solve each equation and compare their solutions.
Equation A:
\[ 3(4-5h) - 7 = -12 + 2h \]
Distributing on the left side:
\[ 12 - 15h - 7 = -12 + 2h \]
Combine like terms:
\[ 5 - 15h = -12 + 2h \]
Add \(15h\) to both sides and move constants:
\[ 5 + 12 = 2h + 15h \]
\[ 17 = 17h \]
Dividing both sides by \(17\):
\[ h = 1 \]
Equation B:
\[ 2(p-3) - 1 = 6p + 142 \]
Distributing on the left side:
\[ 2p - 6 - 1 = 6p + 142 \]
Combine like terms:
\[ 2p - 7 = 6p + 142 \]
Subtract \(6p\) from both sides:
\[ 2p - 6p - 7 = 142 \]
\[ -4p - 7 = 142 \]
Adding 7 to both sides:
\[ -4p = 149 \]
Dividing both sides by \(-4\):
\[ p = -\frac{149}{4} \]
Equation C:
\[ 23v - 3 + 83 = -1 \]
Combine constants on the left side:
\[ 23v + 80 = -1 \]
Subtract \(80\) from both sides:
\[ 23v = -81 \]
Dividing both sides by \(23\):
\[ v = -\frac{81}{23} \]
Now we have the solutions:
- From Equation A: \( h = 1 \)
- From Equation B: \( p = -\frac{149}{4} \)
- From Equation C: \( v = -\frac{81}{23} \)
Since all three equations have different solutions:
- Tamara is incorrect (Equation A and C do not have the same solution).
- Payton is incorrect (Equation B and C do not have the same solution).
- Krish is incorrect (not all three have the same solution).
- Haruki is correct (none of the equations have the same solution).
Therefore, the correct answer is: Haruki.