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Simplifying 9(k + 2) + -1(1 + -5k) = 13k Reorder the terms: 9(2 + k) + -1(1 + -5k) = 13k (2 * 9 + k * 9) + -1(1 + -5k) = 13k (18 + 9k) + -1(1 + -5k) = 13k 18 + 9k + (1 * -1 + -5k * -1) = 13k 18 + 9k + (-1 + 5k) = 13k Reorder the terms: 18 + -1 + 9k + 5k = 13k Combine like terms: 18 + -1 = 17 17 + 9k + 5k = 13k Combine like terms: 9k + 5k = 14k 17 + 14k = 13k Solving 17 + 14k = 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 17 + 14k + -13k = 13k + -13k Combine like terms: 14k + -13k = 1k 17 + 1k = 13k + -13k Combine like terms: 13k + -13k = 0 17 + 1k = 0 Add '-17' to each side of the equation. 17 + -17 + 1k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1k = 0 + -17 1k = 0 + -17 Combine like terms: 0 + -17 = -17 1k = -17 Divide each side by '1'. k = -17 Simplifying k = -17
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