To evaluate the expression \( bd - c + d \) for \( b = 6 \), \( c = 11 \), and \( d = -4.5 \), we can follow these steps:
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Calculate \( bd \): \[ bd = 6 \times (-4.5) = -27 \]
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Substitute into the expression: \[ bd - c + d = -27 - 11 + (-4.5) \]
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Now, simplify: \[ -27 - 11 = -38 \] \[ -38 + (-4.5) = -38 - 4.5 = -42.5 \]
Therefore, the value of the expression is: \[ \boxed{-42.5} \]