A number k𝑘 is tripled and then 44 is added. This result is halved to obtain −13−13.
Question
A number k𝑘 is tripled and then 44 is added. This result is halved to obtain −13−13.
Solution
Sure, let's solve this step by step:
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Let's denote the unknown number as k. According to the problem, this number is tripled. We can express this as 3k.
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Then, 44 is added to the tripled number. We can express this as 3k + 44.
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This result is then halved to obtain -13. We can express this as (3k + 44) / 2 = -13.
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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.
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Next, subtract 44 from both sides of the equation: 3k + 44 - 44 = -26 - 44. This simplifies to 3k = -70.
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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.
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