To solve the equation \(-\frac{b}{0.5} - 2.1 = -7.1\), we can follow these steps:
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Isolate the term with \(b\): \[ -\frac{b}{0.5} = -7.1 + 2.1 \] \[ -\frac{b}{0.5} = -5 \]
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Eliminate the negative sign: \[ \frac{b}{0.5} = 5 \]
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Multiply both sides by \(0.5\): \[ b = 5 \times 0.5 \] \[ b = 2.5 \]
Thus, the solution for \(b\) is \( \boxed{2.5} \).