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