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23 August, 14:52

3 (n+11) - 5n=-2 (n-12) + 9

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  1. 23 August, 15:08
    0
    Simplifying

    3 (n + 11) + - 5n = - 2 (n + - 12) + 9

    Reorder the terms:

    3 (11 + n) + - 5n = - 2 (n + - 12) + 9

    (11 * 3 + n * 3) + - 5n = - 2 (n + - 12) + 9

    (33 + 3n) + - 5n = - 2 (n + - 12) + 9

    Combine like terms: 3n + - 5n = - 2n

    33 + - 2n = - 2 (n + - 12) + 9

    Reorder the terms:

    33 + - 2n = - 2 (-12 + n) + 9

    33 + - 2n = (-12 * - 2 + n * - 2) + 9

    33 + - 2n = (24 + - 2n) + 9

    Reorder the terms:

    33 + - 2n = 24 + 9 + - 2n

    Combine like terms: 24 + 9 = 33

    33 + - 2n = 33 + - 2n

    Add '-33' to each side of the equation.

    33 + - 33 + - 2n = 33 + - 33 + - 2nCombine like terms: 33 + - 33 = 0

    0 + - 2n = 33 + - 33 + - 2n

    -2n = 33 + - 33 + - 2n

    Combine like terms: 33 + - 33 = 0

    -2n = 0 + - 2n

    -2n = - 2n

    Add '2n' to each side of the equation.

    -2n + 2n = - 2n + 2n

    Combine like terms: - 2n + 2n = 0

    0 = - 2n + 2n

    Combine like terms: - 2n + 2n = 0

    0 = 0

    Solving

    0 = 0

    Couldn't find a variable to solve for.

    This equation is an identity, all real numbers are solutions.
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