To evaluate the expression \( uv + u \) for \( u = -3 \) and \( v = -4 \), we can substitute the values of \( u \) and \( v \) into the expression.
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First, calculate \( uv \): \[ uv = (-3)(-4) = 12 \]
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Next, calculate \( u \): \[ u = -3 \]
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Now, substitute these results into the expression \( uv + u \): \[ uv + u = 12 + (-3) = 12 - 3 = 9 \]
Thus, the final result is: \[ \boxed{9} \]