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4 July, 12:52

Select each expression that is equivalent to 3 (n+6) 3 (n + 6). Select all that apply. A 3n+6 3 n + 6 B 3n+18 3 n + 18 C 2n+2+n+4 2 n + 2 + n + 4 D 2 (n+6) + (n+6) 2 n + 6 + (n + 6) E 2 (n+6) + n 2 n + 6 + n

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  1. 4 July, 15:39
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    B) 3n+18 (D) 2 (n+6) + (n+6)

    Step-by-step explanation:

    We want to determine which expressions are equal to 3 (n+6).

    (B) If we expand the bracket, 3 (n+6) = 3n+18 (D) 2 (n+6) + (n+6)

    If we Simplify this, 2 (n+6) + (n+6) = (2+1) (n+6) = 3 (n+6)

    All other expressions are not equivalent.

    A) 3n+6≠3 (n+6) because the parenthesis is missing.

    (C) 2n+2+n+4 simplifies as 3n+6 which we have proven to be wrong

    (E) 2 (n+6) + n simplifies as 3n+12
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