To evaluate the expression \(-32 + (2 - 6)(10)\), we will follow the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).
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First, evaluate the expression within the parentheses: \[ 2 - 6 = -4 \]
So, we can rewrite the expression as: \[ -32 + (-4)(10) \]
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Next, perform the multiplication: \[ -4 \times 10 = -40 \]
Now, we have: \[ -32 + (-40) \]
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Finally, we perform the addition: \[ -32 - 40 = -72 \]
Thus, the value of the expression \(-32 + (2 - 6)(10)\) is \(\boxed{-72}\).