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Simplifying 9(k + -1) + -1(8k + 6) = -2 Reorder the terms: 9(-1 + k) + -1(8k + 6) = -2 (-1 * 9 + k * 9) + -1(8k + 6) = -2 (-9 + 9k) + -1(8k + 6) = -2 Reorder the terms: -9 + 9k + -1(6 + 8k) = -2 -9 + 9k + (6 * -1 + 8k * -1) = -2 -9 + 9k + (-6 + -8k) = -2 Reorder the terms: -9 + -6 + 9k + -8k = -2 Combine like terms: -9 + -6 = -15 -15 + 9k + -8k = -2 Combine like terms: 9k + -8k = 1k -15 + 1k = -2 Solving -15 + 1k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1k = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 1k = -2 + 15 1k = -2 + 15 Combine like terms: -2 + 15 = 13 1k = 13 Divide each side by '1'. k = 13 Simplifying k = 13
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