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Use the distributive property to write an equivalent expression.

3(2n+10 p-4)
Answer:

Use the distributive property to write an equivalent expression.\newline3(2n+10p4) 3(2 n+10 p-4) \newlineAnswer:

Full solution

Q. Use the distributive property to write an equivalent expression.\newline3(2n+10p4) 3(2 n+10 p-4) \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 33.
  2. Multiply 33 by 2n2n: First, multiply 33 by 2n2n: 3×2n=6n3 \times 2n = 6n.
  3. Multiply 33 by 1010p: Next, multiply 33 by 1010p: 3×10p=30p3 \times 10p = 30p.
  4. Multiply 33 by 4-4: Finally, multiply 33 by 4-4: 3×4=123 \times -4 = -12.
  5. Combine Terms: Combine all the terms to write the equivalent expression: 6n+30p126n + 30p - 12.

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