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Simplifying 7(k + 9) = 9(k + -5) + -14k Reorder the terms: 7(9 + k) = 9(k + -5) + -14k (9 * 7 + k * 7) = 9(k + -5) + -14k (63 + 7k) = 9(k + -5) + -14k Reorder the terms: 63 + 7k = 9(-5 + k) + -14k 63 + 7k = (-5 * 9 + k * 9) + -14k 63 + 7k = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k 63 + 7k = -45 + -5k Solving 63 + 7k = -45 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 63 + 7k + 5k = -45 + -5k + 5k Combine like terms: 7k + 5k = 12k 63 + 12k = -45 + -5k + 5k Combine like terms: -5k + 5k = 0 63 + 12k = -45 + 0 63 + 12k = -45 Add '-63' to each side of the equation. 63 + -63 + 12k = -45 + -63 Combine like terms: 63 + -63 = 0 0 + 12k = -45 + -63 12k = -45 + -63 Combine like terms: -45 + -63 = -108 12k = -108 Divide each side by '12'. k = -9 Simplifying k = -9
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