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Simplifying 9(k + 2) + -1(8k + 6) = 7 Reorder the terms: 9(2 + k) + -1(8k + 6) = 7 (2 * 9 + k * 9) + -1(8k + 6) = 7 (18 + 9k) + -1(8k + 6) = 7 Reorder the terms: 18 + 9k + -1(6 + 8k) = 7 18 + 9k + (6 * -1 + 8k * -1) = 7 18 + 9k + (-6 + -8k) = 7 Reorder the terms: 18 + -6 + 9k + -8k = 7 Combine like terms: 18 + -6 = 12 12 + 9k + -8k = 7 Combine like terms: 9k + -8k = 1k 12 + 1k = 7 Solving 12 + 1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1k = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1k = 7 + -12 1k = 7 + -12 Combine like terms: 7 + -12 = -5 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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