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Simplifying 2(k + -1) = -17 + -1k Reorder the terms: 2(-1 + k) = -17 + -1k (-1 * 2 + k * 2) = -17 + -1k (-2 + 2k) = -17 + -1k Solving -2 + 2k = -17 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -2 + 2k + k = -17 + -1k + k Combine like terms: 2k + k = 3k -2 + 3k = -17 + -1k + k Combine like terms: -1k + k = 0 -2 + 3k = -17 + 0 -2 + 3k = -17 Add '2' to each side of the equation. -2 + 2 + 3k = -17 + 2 Combine like terms: -2 + 2 = 0 0 + 3k = -17 + 2 3k = -17 + 2 Combine like terms: -17 + 2 = -15 3k = -15 Divide each side by '3'. k = -5 Simplifying k = -5
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