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26 September, 18:26

What is n

-8+4 (1+5n) = -6n-14

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Answers (1)
  1. 26 September, 21:05
    0
    n = (-5) / 13

    Step-by-step explanation:

    Solve for n:

    4 (5 n + 1) - 8 = - 6 n - 14

    4 (5 n + 1) = 20 n + 4:

    20 n + 4 - 8 = - 6 n - 14

    Add like terms. 4 - 8 = - 4:

    20 n - 4 = - 6 n - 14

    Add 6 n to both sides:

    20 n + 6 n - 4 = (6 n - 6 n) - 14

    6 n - 6 n = 0:

    20 n + 6 n - 4 = - 14

    20 n + 6 n = 26 n:

    26 n - 4 = - 14

    Add 4 to both sides:

    26 n + (4 - 4) = 4 - 14

    4 - 4 = 0:

    26 n = 4 - 14

    4 - 14 = - 10:

    26 n = - 10

    Divide both sides of 26 n = - 10 by 26:

    (26 n) / 26 = (-10) / 26

    26/26 = 1:

    n = (-10) / 26

    The gcd of - 10 and 26 is 2, so (-10) / 26 = (2 (-5)) / (2*13) = 2/2 * (-5) / 13 = (-5) / 13:

    Answer: n = (-5) / 13
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