To simplify the expression \(-2.7 + 9.2(-9.5 - 3.7z)\), we will follow the order of operations (parentheses, multiplication, and then addition/subtraction).
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Start with the expression: \[ -2.7 + 9.2(-9.5 - 3.7z) \]
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Distribute \(9.2\) to both terms inside the parentheses: \[ = -2.7 + 9.2 \cdot (-9.5) + 9.2 \cdot (-3.7z) \]
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Calculate \(9.2 \cdot (-9.5)\): \[ 9.2 \cdot (-9.5) = -87.4 \]
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Calculate \(9.2 \cdot (-3.7z)\): \[ 9.2 \cdot (-3.7z) = -34.04z \]
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Now substitute these values back into the expression: \[ -2.7 - 87.4 - 34.04z \]
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Combine the constant terms, \(-2.7\) and \(-87.4\): \[ -2.7 - 87.4 = -90.1 \]
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Therefore, the simplified expression is: \[ -90.1 - 34.04z \]
Thus, the final simplified expression is: \[ -90.1 - 34.04z \]
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