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Simplifying 9(k + -5) + 7(k + 9) = 14k Reorder the terms: 9(-5 + k) + 7(k + 9) = 14k (-5 * 9 + k * 9) + 7(k + 9) = 14k (-45 + 9k) + 7(k + 9) = 14k Reorder the terms: -45 + 9k + 7(9 + k) = 14k -45 + 9k + (9 * 7 + k * 7) = 14k -45 + 9k + (63 + 7k) = 14k Reorder the terms: -45 + 63 + 9k + 7k = 14k Combine like terms: -45 + 63 = 18 18 + 9k + 7k = 14k Combine like terms: 9k + 7k = 16k 18 + 16k = 14k Solving 18 + 16k = 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. 18 + 16k + -14k = 14k + -14k Combine like terms: 16k + -14k = 2k 18 + 2k = 14k + -14k Combine like terms: 14k + -14k = 0 18 + 2k = 0 Add '-18' to each side of the equation. 18 + -18 + 2k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 0 + -18 2k = 0 + -18 Combine like terms: 0 + -18 = -18 2k = -18 Divide each side by '2'. k = -9 Simplifying k = -9
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