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Combine like terms to simplify the expression:

\[{1.17-0.07a+(-3.92a)}\]

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We have $-0.07a-3.92a=(-0.07-3.92)a=-3.99a.$ Therefore, the expression simplifies to \[1.17-0.07a+(-3.92a)=\boxed{1.17-3.99a}.\]
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