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Which expression is equivalent to the expression below?

2(6n+1)-6n

6n+2

2(6n+1-6n)

18 n+1

14 n+3

Which expression is equivalent to the expression below?\newline2(6n+1)6n 2(6 n+1)-6 n \newline6n+2 6 n+2 \newline2(6n+16n) 2(6 n+1-6 n) \newline18n+1 18 n+1 \newline14n+3 14 n+3

Full solution

Q. Which expression is equivalent to the expression below?\newline2(6n+1)6n 2(6 n+1)-6 n \newline6n+2 6 n+2 \newline2(6n+16n) 2(6 n+1-6 n) \newline18n+1 18 n+1 \newline14n+3 14 n+3
  1. Distribute 22 into parentheses: Distribute the 22 into the parentheses in the expression 2(6n+1)2(6n+1).2(6n+1)=26n+21=12n+22(6n+1) = 2\cdot6n + 2\cdot1 = 12n + 2
  2. Subtract 6n6n: Subtract 6n6n from the result of the distribution.\newline(12n+2)6n(12n + 2) - 6n\newline=12n6n+2= 12n - 6n + 2\newline=6n+2= 6n + 2
  3. Compare with options: Compare the result with the given options.\newlineThe expression 6n+26n + 2 matches one of the given options.

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