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Distribute to create an equivalent expression with the fewest symbols possible.

(7-4n)*6=

Distribute to create an equivalent expression with the fewest symbols possible.\newline(74n)6= (7-4 n) \cdot 6=

Full solution

Q. Distribute to create an equivalent expression with the fewest symbols possible.\newline(74n)6= (7-4 n) \cdot 6=
  1. Apply Distributive Property: Apply the distributive property to multiply each term inside the parentheses by 66. The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we have a=6a = 6, b=7b = 7, and c=4nc = -4n. So, (74n)×6=7×64n×6(7-4n)\times 6 = 7\times 6 - 4n\times 6
  2. Multiply 77 by 66: Multiply 77 by 66. \newline7×6=427 \times 6 = 42
  3. Multiply 4n-4n by 66: Multiply 4n-4n by 66.\newline4n×6=24n-4n \times 6 = -24n
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the final simplified expression. 4224n42 - 24n

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