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20 July, 04:44

What is the solution of 3 (n+2) = 9 (6-n)

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Answers (2)
  1. 20 July, 04:48
    0
    3 (n+2) = 9 (6-n)

    =>3n+6=54-9n

    =>3n+9n=54-6

    =>12n=48

    =>n=48/12

    =>n=4
  2. 20 July, 04:56
    0
    n = 4

    Step-by-step explanation:

    Operate using distributive property to free both expressions from the grouping symbols (parentheses):

    3 (n+2) = 9 (6-n)

    3n + 6 = 54 - 9n

    Now add "9n" to both sides to gather all terms with the unknown "n" on one side of the equal sign:

    3n + 9n + 6 = 54

    12 n + 6 = 54

    Now subtract 6 from both sides to have the pure numerical terms on the right hand side of the equation:

    12 n = 54 - 6

    12 n = 48

    Now divide both sides by 12 in order to solve for the unknown "n":

    n = 48/12

    n = 4
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