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9 June, 12:56

Find and correct the error in solving the equation below. 1) 4 (12n-6) = 6 (-4 + 5n) 2) 48n - 24 = - 24 + 30n + 18n 3) 48n - 24 = - 24 + 48n 4) 48n - 24 = 48n 24 5) 48n 48n 6 n = 0 The solution is n = 0

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  1. 9 June, 13:31
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    The error comes in line number 2).

    Step-by-step explanation:

    The solution of the equation progresses as follows:

    1) 4 (12n-6) = 6 (-4 + 5n)

    2) 48n - 24 = - 24 + 30n + 18n

    3) 48n - 24 = - 24 + 48n

    4) 48n - 24 = 48n - 24

    5) 48n = 48n

    6) n = 0

    The error comes in line number 2) when the brackets were expanded.

    The extra + 18 should not exist.

    The correct progression of the solution should be:

    1) 4 (12n - 6) = 6 (-4 + 5n)

    2) 48n - 24 = 30n - 24

    3) 48n - 30n = - 24 + 24

    4) 18n = 0

    5) n = 0 / 18

    6) n = 0

    This is the correct solution.
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