Evaluate the expression. \[ -5 \div(-4+-9 \times-1) \]
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To evaluate the expression \(-5 \div (-4 + -9 \times -1)\), we first resolve the operations inside the parentheses. Starting with \(-9 \times -1\): \[ -9 \times -1 = 9 \] Next, substitute this value back into the expression within the parentheses: \[ -4 + 9 \] Now, calculate: \[ -4 + 9 = 5 \] Now that we have simplified the parenthesis, we can substitute back into the original expression: \[ -5 \div 5 \] Finally, perform the division: \[ -5 \div 5 = -1 \] Thus, the value of the expression is \(\boxed{-1}\).