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11 April, 17:26

The product of a number and - 8 gives eight times the sum of that number and 36. Find that number

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  1. 11 April, 19:29
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    -18

    Step-by-step explanation:

    Let x be our number. First we have to write our equation.

    The product of a number and - 8 is represented as - 8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

    The result is eight times the sum of x and 36. This is represented as 8 (x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

    So our equation is:

    -8x = 8 (x + 36)

    We can now solve for x. First, expand the bracket.

    -8x = 8x + 288

    Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

    -8x - 8x = 8x + 288 - 8x

    -16x = 288

    Divide both sides by - 16

    x = - 18
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