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Simplifying -7k + 15 = -9k + -13k Reorder the terms: 15 + -7k = -9k + -13k Combine like terms: -9k + -13k = -22k 15 + -7k = -22k Solving 15 + -7k = -22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22k' to each side of the equation. 15 + -7k + 22k = -22k + 22k Combine like terms: -7k + 22k = 15k 15 + 15k = -22k + 22k Combine like terms: -22k + 22k = 0 15 + 15k = 0 Add '-15' to each side of the equation. 15 + -15 + 15k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 15k = 0 + -15 15k = 0 + -15 Combine like terms: 0 + -15 = -15 15k = -15 Divide each side by '15'. k = -1 Simplifying k = -1
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