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6 February, 03:34

1/5 (n+3) = 1/4 (n+2). what is N=

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  1. 6 February, 05:27
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    n = 2

    Step-by-step explanation:

    1/5 (n+3) = 1/4 (n+2)

    First thing to do here is distribute into the parenthesis.

    1/5n+3 (1/5) = 1/4n + 2 (1/4)

    Now, multiply to simplify the equation.

    1/5n + 3/5 = 1/4n + 1/2

    Then, subtract 1/2 to both sides.

    1/5n + 3/5 = 1/4n + 1/2

    -1/2 - 1/2

    1/5n + 1/10 = 1/4n

    Now, subtract 1/5 to both sides.

    1/5n + 1/10 = 1/4n

    -1/5n - 1/5n

    1/10 = 1/20n

    Finally, multiply both sides by the reciprocal of 1/20.

    So, multiply by 20/1.

    20/1 * 1/10 = 20/1 * 1/20n

    This leaves you with n=2.
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