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Simplifying 11(k + 7) + 8k = -9k + 7(k + -4) Reorder the terms: 11(7 + k) + 8k = -9k + 7(k + -4) (7 * 11 + k * 11) + 8k = -9k + 7(k + -4) (77 + 11k) + 8k = -9k + 7(k + -4) Combine like terms: 11k + 8k = 19k 77 + 19k = -9k + 7(k + -4) Reorder the terms: 77 + 19k = -9k + 7(-4 + k) 77 + 19k = -9k + (-4 * 7 + k * 7) 77 + 19k = -9k + (-28 + 7k) Reorder the terms: 77 + 19k = -28 + -9k + 7k Combine like terms: -9k + 7k = -2k 77 + 19k = -28 + -2k Solving 77 + 19k = -28 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 77 + 19k + 2k = -28 + -2k + 2k Combine like terms: 19k + 2k = 21k 77 + 21k = -28 + -2k + 2k Combine like terms: -2k + 2k = 0 77 + 21k = -28 + 0 77 + 21k = -28 Add '-77' to each side of the equation. 77 + -77 + 21k = -28 + -77 Combine like terms: 77 + -77 = 0 0 + 21k = -28 + -77 21k = -28 + -77 Combine like terms: -28 + -77 = -105 21k = -105 Divide each side by '21'. k = -5 Simplifying k = -5
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