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27 January, 21:37

Five times a number minus - 11 is equal to 16 minus the number

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  1. 27 January, 21:46
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    I'm probably late but I'm going to solve it anyway.

    Let n = "a number." We will use it to translate the words into an equation.

    "five times a number" translates to 5 * n or 5 (n) or 5n. I will use the last one.

    "minus - 11" is - ( - 11)

    "16 minus the number" is 16 - n

    Now set everything in place and solve:

    5n - ( - 11) = 16 - n

    First, simplify. The two negatives right next to each other, - ( - 11) is like multiplying by a negative. A negative times a negative is a positive.

    5n + 11 = 16 - n

    Now, subtract 11 from both sides and add n to both sides to get constants on one side of the equal sign and variables on the other:

    5n + n = 16 - 11

    Combine like terms:

    6n = 5

    Divide by 6 on both sides to isolate the variable:

    n = 5/6

    Your number is 5/6
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