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Simplifying 9(k + 7) + -1(-9k + -9) = 17k Reorder the terms: 9(7 + k) + -1(-9k + -9) = 17k (7 * 9 + k * 9) + -1(-9k + -9) = 17k (63 + 9k) + -1(-9k + -9) = 17k Reorder the terms: 63 + 9k + -1(-9 + -9k) = 17k 63 + 9k + (-9 * -1 + -9k * -1) = 17k 63 + 9k + (9 + 9k) = 17k Reorder the terms: 63 + 9 + 9k + 9k = 17k Combine like terms: 63 + 9 = 72 72 + 9k + 9k = 17k Combine like terms: 9k + 9k = 18k 72 + 18k = 17k Solving 72 + 18k = 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 72 + 18k + -17k = 17k + -17k Combine like terms: 18k + -17k = 1k 72 + 1k = 17k + -17k Combine like terms: 17k + -17k = 0 72 + 1k = 0 Add '-72' to each side of the equation. 72 + -72 + 1k = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 1k = 0 + -72 1k = 0 + -72 Combine like terms: 0 + -72 = -72 1k = -72 Divide each side by '1'. k = -72 Simplifying k = -72
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