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Simplifying 13k = 75 + -2k Solving 13k = 75 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 13k + 2k = 75 + -2k + 2k Combine like terms: 13k + 2k = 15k 15k = 75 + -2k + 2k Combine like terms: -2k + 2k = 0 15k = 75 + 0 15k = 75 Divide each side by '15'. k = 5 Simplifying k = 5
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