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Simplifying -7(k + 9) = 9(k + 9) + -14k Reorder the terms: -7(9 + k) = 9(k + 9) + -14k (9 * -7 + k * -7) = 9(k + 9) + -14k (-63 + -7k) = 9(k + 9) + -14k Reorder the terms: -63 + -7k = 9(9 + k) + -14k -63 + -7k = (9 * 9 + k * 9) + -14k -63 + -7k = (81 + 9k) + -14k Combine like terms: 9k + -14k = -5k -63 + -7k = 81 + -5k Solving -63 + -7k = 81 + -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 = 81 + -5k + 5k Combine like terms: -7k + 5k = -2k -63 + -2k = 81 + -5k + 5k Combine like terms: -5k + 5k = 0 -63 + -2k = 81 + 0 -63 + -2k = 81 Add '63' to each side of the equation. -63 + 63 + -2k = 81 + 63 Combine like terms: -63 + 63 = 0 0 + -2k = 81 + 63 -2k = 81 + 63 Combine like terms: 81 + 63 = 144 -2k = 144 Divide each side by '-2'. k = -72 Simplifying k = -72
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