n + 9n - 8 - 5 = 2n + 3

Discussion in 'Calculator Requests' started by math_celebrity, Jan 12, 2023.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    n + 9n - 8 - 5 = 2n + 3

    Solve for n in the equation n + 9n - 8 - 5 = 2n + 3

    Step 1: Group the n terms on the left hand side:
    (1 + 9)n = 10n

    Step 2: Group the constant terms on the left hand side:
    -8 - 5 = -13

    Step 3: Form modified equation
    10n - 13 = 2n + 3

    Step 4: Group variables:
    We need to group our variables 10n and 2n. To do that, we subtract 2n from both sides
    10n - 13 - 2n = 2n + 3 - 2n

    Step 5: Cancel 2n on the right side:
    8n - 13 = 3

    Step 6: Group constants:
    We need to group our constants -13 and 3. To do that, we add 13 to both sides
    8n - 13 + 13 = 3 + 13

    Step 7: Cancel 13 on the left side:
    8n = 16

    Step 8: Divide each side of the equation by 8
    8n/8 = 16/8

    n = 2
     

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