To combine the like terms in the expression \(5rs + 3rs - 7rs + 8pq\), we first identify the like terms, which in this case are all the terms that contain \(rs\).
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Combine the coefficients of \(rs\):
- \(5rs + 3rs - 7rs = (5 + 3 - 7)rs = 1rs = rs\)
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The term \(8pq\) remains unchanged since it does not have any like terms.
Putting it all together, the simplified expression is: \[ rs + 8pq \]