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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Answer
10
Here's how to solve using the distributive property, filling in the blanks as shown in the image:
Step 1: Identify the problem and the final answer. The problem is . The top box should contain the final answer.
Step 2: Break down into . The visual aid shows and next to , indicating that is split into and .
Step 3: Apply the distributive property. The line with four boxes for multiplication and addition represents the distributive property: .
Step 4: Calculate the individual products. Multiply and . The next line shows the sum of these products.
Step 5: Calculate the final sum. Add the results from the previous step. The last line shows the final sum.
Now, let's address the first line of blanks: . Given the subsequent steps, this line is likely meant to show an intermediate calculation where one part of the multiplication is already done. If , then the expression becomes .
Here are the filled steps:
The final answer is .
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Here's how to solve 15 × 2 using the distributive property, filling in the blanks as shown in the image: Step 1: Identify the problem and the final answer.
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.