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A number k𝑘 is tripled and then 44 is added. This result is halved to obtain −13−13.

Question

A number kk k is tripled and then 44 is added. This result is halved to obtain -13.

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Solution

Sure, let's solve this step by step:

  1. Let's denote the unknown number as k. According to the problem, this number is tripled. We can express this as 3k.

  2. Then, 44 is added to the tripled number. We can express this as 3k + 44.

  3. This result is then halved to obtain -13. We can express this as (3k + 44) / 2 = -13.

  4. Now, we can solve this equation for k. First, multiply both sides of the equation by 2 to get rid of the fraction: 2 * ((3k + 44) / 2) = 2 * -13. This simplifies to 3k + 44 = -26.

  5. Next, subtract 44 from both sides of the equation: 3k + 44 - 44 = -26 - 44. This simplifies to 3k = -70.

  6. Finally, divide both sides of the equation by 3 to solve for k: 3k / 3 = -70 / 3. This simplifies to k = -70 / 3.

So, the number k is -70 / 3.

This problem has been solved

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