To simplify the expression \(-3a + 4 + 5a - 7 + a\), we will combine the like terms.
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Combine the terms with \(a\): \(-3a + 5a + a = (5a - 3a + 1a) = 3a\)
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Combine the constant terms: \(4 - 7 = -3\)
Putting it all together, we have:
\[ 3a - 3 \]
So the simplified expression is \(3a - 3\).