This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Solve part a) using the commutative property of addition. The commutative property of addition states that for any two integers and , . Given the equation: Comparing this to , where and , the blank must be . So, the blank is .
Step 2: Solve part b) using the additive identity property. The additive identity property states that for any integer , . Given the equation: Comparing this to , where , the blank must be . So, the blank is .
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Solve part a) using the commutative property of addition. The commutative property of addition states that for any two integers a and b, a + b = b + a.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.