Evaluate the expression. \[ -15+(-11-13) \div 4 \div-6 \]
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To evaluate the expression \(-15+(-11-13) \div 4 \div-6\), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right). 1. Start with the parentheses: \[ -11 - 13 = -24 \] So the expression becomes: \[ -15 + (-24) \div 4 \div -6 \] 2. Next, perform the division \((-24) \div 4\): \[ -24 \div 4 = -6 \] Now, the expression updates to: \[ -15 + -6 \div -6 \] 3. Now, perform the division \(-6 \div -6\): \[ -6 \div -6 = 1 \] Now, the expression is: \[ -15 + 1 \] 4. Finally, add: \[ -15 + 1 = -14 \] Thus, the final value of the expression is: \[ \boxed{-14} \]