To determine which pair of linear equations have the same solution set, we will simplify each pair.
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First Pair:
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\(4k - 5 = 2k\)
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Rearranging gives: \[ 4k - 2k = 5 \quad \Rightarrow \quad 2k = 5 \quad \Rightarrow \quad k = \frac{5}{2} \]
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\(8j - 2 = 3j\)
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Rearranging gives: \[ 8j - 3j = 2 \quad \Rightarrow \quad 5j = 2 \quad \Rightarrow \quad j = \frac{2}{5} \]
Solutions: \(k = \frac{5}{2}\), \(j = \frac{2}{5}\) (not the same)
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Second Pair:
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\(3(m + 1) = 10\)
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Expanding gives: \[ 3m + 3 = 10 \quad \Rightarrow \quad 3m = 7 \quad \Rightarrow \quad m = \frac{7}{3} \]
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\(6n + 3 = 6 - n\)
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Rearranging gives: \[ 6n + n = 3 \quad \Rightarrow \quad 7n = 3 \quad \Rightarrow \quad n = \frac{3}{7} \]
Solutions: \(m = \frac{7}{3}\), \(n = \frac{3}{7}\) (not the same)
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Third Pair:
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\(4 = \frac{k}{2} + 5\)
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Rearranging gives: \[ \frac{k}{2} = 4 - 5 \quad \Rightarrow \quad \frac{k}{2} = -1 \quad \Rightarrow \quad k = -2 \]
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\(\frac{4j - 14}{3} + 5 = 3\)
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Rearranging gives: \[ \frac{4j - 14}{3} = 3 - 5 \quad \Rightarrow \quad \frac{4j - 14}{3} = -2 \quad \Rightarrow \quad 4j - 14 = -6 \quad \Rightarrow \quad 4j = 8 \quad \Rightarrow \quad j = 2 \]
Solutions: \(k = -2\), \(j = 2\) (not the same)
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Fourth Pair:
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\(2(3g + 5) - 2g = 2(4 - g)\)
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Expanding gives: \[ 6g + 10 - 2g = 8 - 2g \quad \Rightarrow \quad 6g - 2g + 2g = 8 - 10 \quad \Rightarrow \quad 6g = -2 \quad \Rightarrow \quad g = -\frac{1}{3} \]
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\(-36h6 = 2\) is ambiguous as presented, appears to be a misprint or incorrect equation and needs clarification.
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Given all of this, after checking pairs, none of them have the same solution set clearly as presented.
Therefore, among the pairs given, there seems to be no matching pairs explicitly detailed. Further clarification of the last equation may yield results, but based on provided items, there is no concrete answer.