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Simplifying 9(9 + -1k) + 7 = -7(k + -4) + -11 (9 * 9 + -1k * 9) + 7 = -7(k + -4) + -11 (81 + -9k) + 7 = -7(k + -4) + -11 Reorder the terms: 81 + 7 + -9k = -7(k + -4) + -11 Combine like terms: 81 + 7 = 88 88 + -9k = -7(k + -4) + -11 Reorder the terms: 88 + -9k = -7(-4 + k) + -11 88 + -9k = (-4 * -7 + k * -7) + -11 88 + -9k = (28 + -7k) + -11 Reorder the terms: 88 + -9k = 28 + -11 + -7k Combine like terms: 28 + -11 = 17 88 + -9k = 17 + -7k Solving 88 + -9k = 17 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 88 + -9k + 7k = 17 + -7k + 7k Combine like terms: -9k + 7k = -2k 88 + -2k = 17 + -7k + 7k Combine like terms: -7k + 7k = 0 88 + -2k = 17 + 0 88 + -2k = 17 Add '-88' to each side of the equation. 88 + -88 + -2k = 17 + -88 Combine like terms: 88 + -88 = 0 0 + -2k = 17 + -88 -2k = 17 + -88 Combine like terms: 17 + -88 = -71 -2k = -71 Divide each side by '-2'. k = 35.5 Simplifying k = 35.5
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