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Simplifying 9(k + 3) + -1(-6k + -4) = 14k Reorder the terms: 9(3 + k) + -1(-6k + -4) = 14k (3 * 9 + k * 9) + -1(-6k + -4) = 14k (27 + 9k) + -1(-6k + -4) = 14k Reorder the terms: 27 + 9k + -1(-4 + -6k) = 14k 27 + 9k + (-4 * -1 + -6k * -1) = 14k 27 + 9k + (4 + 6k) = 14k Reorder the terms: 27 + 4 + 9k + 6k = 14k Combine like terms: 27 + 4 = 31 31 + 9k + 6k = 14k Combine like terms: 9k + 6k = 15k 31 + 15k = 14k Solving 31 + 15k = 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 31 + 15k + -14k = 14k + -14k Combine like terms: 15k + -14k = 1k 31 + 1k = 14k + -14k Combine like terms: 14k + -14k = 0 31 + 1k = 0 Add '-31' to each side of the equation. 31 + -31 + 1k = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1k = 0 + -31 1k = 0 + -31 Combine like terms: 0 + -31 = -31 1k = -31 Divide each side by '1'. k = -31 Simplifying k = -31
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