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Simplifying 10k + 3 = 9(k + -3) Reorder the terms: 3 + 10k = 9(k + -3) Reorder the terms: 3 + 10k = 9(-3 + k) 3 + 10k = (-3 * 9 + k * 9) 3 + 10k = (-27 + 9k) Solving 3 + 10k = -27 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 3 + 10k + -9k = -27 + 9k + -9k Combine like terms: 10k + -9k = 1k 3 + 1k = -27 + 9k + -9k Combine like terms: 9k + -9k = 0 3 + 1k = -27 + 0 3 + 1k = -27 Add '-3' to each side of the equation. 3 + -3 + 1k = -27 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = -27 + -3 1k = -27 + -3 Combine like terms: -27 + -3 = -30 1k = -30 Divide each side by '1'. k = -30 Simplifying k = -30
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