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Use the distributive property to write an equivalent expression.

4(4k-7m+10)
Answer:

Use the distributive property to write an equivalent expression.\newline4(4k7m+10) 4(4 k-7 m+10) \newlineAnswer:

Full solution

Q. Use the distributive property to write an equivalent expression.\newline4(4k7m+10) 4(4 k-7 m+10) \newlineAnswer:
  1. Apply Distributive Property: The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. We will apply this property to each term inside the parentheses, multiplying each by 44.
  2. Multiply 44 by 44k: First, multiply 44 by 44k: 4×4k=16k4 \times 4k = 16k.
  3. Multiply 44 by 7-7m: Next, multiply 44 by 7-7m: 4×7m=28m4 \times -7m = -28m.
  4. Multiply 44 by 1010: Finally, multiply 44 by 1010: 4×10=404 \times 10 = 40.
  5. Combine Products: Combine all the products to write the equivalent expression: 16k28m+4016k - 28m + 40.

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