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Simplifying 3(3 + -1k) = 17 + -2k (3 * 3 + -1k * 3) = 17 + -2k (9 + -3k) = 17 + -2k Solving 9 + -3k = 17 + -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. 9 + -3k + 2k = 17 + -2k + 2k Combine like terms: -3k + 2k = -1k 9 + -1k = 17 + -2k + 2k Combine like terms: -2k + 2k = 0 9 + -1k = 17 + 0 9 + -1k = 17 Add '-9' to each side of the equation. 9 + -9 + -1k = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 17 + -9 -1k = 17 + -9 Combine like terms: 17 + -9 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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