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Simplifying 8(k + 11) + -6k = 19 Reorder the terms: 8(11 + k) + -6k = 19 (11 * 8 + k * 8) + -6k = 19 (88 + 8k) + -6k = 19 Combine like terms: 8k + -6k = 2k 88 + 2k = 19 Solving 88 + 2k = 19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 2k = 19 + -88 Combine like terms: 88 + -88 = 0 0 + 2k = 19 + -88 2k = 19 + -88 Combine like terms: 19 + -88 = -69 2k = -69 Divide each side by '2'. k = -34.5 Simplifying k = -34.5
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