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Apply the distributive property to create an equivalent expression. 5×(-2w-4)=

Apply the distributive property to create an equivalent expression.\newline5×(−2w−4)= 5 \times(-2 w-4)=

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Full solution

Q. Apply the distributive property to create an equivalent expression.\newline5×(−2w−4)= 5 \times(-2 w-4)=
  1. Understand distributive property: Understand the distributive property. The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. This means we need to multiply the number outside the parentheses by each term inside the parentheses.
  2. Apply to given expression: Apply the distributive property to the given expression.\newlineWe have 5×(−2w−4)5\times(-2w-4), so we need to multiply 55 by −2w-2w and 55 by −4-4.
  3. Multiply by −2w-2w: Multiply 55 by −2w-2w.5×(−2w)=−10w5\times(-2w) = -10w
  4. Multiply by −4-4: Multiply 55 by −4-4.5×(−4)=−205\times(-4) = -20
  5. Combine results: Combine the results from Step 33 and Step 44.\newlineThe equivalent expression is −10w−20-10w - 20.

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