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Simplifying -7(k + -9) = 9k + -5 + -14k Reorder the terms: -7(-9 + k) = 9k + -5 + -14k (-9 * -7 + k * -7) = 9k + -5 + -14k (63 + -7k) = 9k + -5 + -14k Reorder the terms: 63 + -7k = -5 + 9k + -14k Combine like terms: 9k + -14k = -5k 63 + -7k = -5 + -5k Solving 63 + -7k = -5 + -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 = -5 + -5k + 5k Combine like terms: -7k + 5k = -2k 63 + -2k = -5 + -5k + 5k Combine like terms: -5k + 5k = 0 63 + -2k = -5 + 0 63 + -2k = -5 Add '-63' to each side of the equation. 63 + -63 + -2k = -5 + -63 Combine like terms: 63 + -63 = 0 0 + -2k = -5 + -63 -2k = -5 + -63 Combine like terms: -5 + -63 = -68 -2k = -68 Divide each side by '-2'. k = 34 Simplifying k = 34
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