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Apply the distributive property to create an equivalent expression. (m-3+4n)*(-8)=

Apply the distributive property to create an equivalent expression.\newline(m−3+4n)⋅(−8)= (m-3+4 n) \cdot(-8)=

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Full solution

Q. Apply the distributive property to create an equivalent expression.\newline(m−3+4n)⋅(−8)= (m-3+4 n) \cdot(-8)=
  1. Apply Distributive Property: Apply the distributive property to each term inside the parentheses.\newlineDistributive property: a(b+c)=ab+aca(b + c) = ab + ac\newline(m−3+4n)(−8)=m(−8)−3(−8)+4n(−8)(m-3+4n)(-8) = m(-8) - 3(-8) + 4n(-8)
  2. Simplify Terms: Simplify each term after applying the distributive property.\newlinem∗(−8)=−8mm*(-8) = -8m\newline−3∗(−8)=24-3*(-8) = 24\newline4n∗(−8)=−32n4n*(-8) = -32n
  3. Combine Simplified Terms: Combine the simplified terms to get the final expression.\newline−8m+24−32n-8m + 24 - 32n

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