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Simplifying 1 + -1 + -1(1 + k) + 5 + -1k = 0 1 + -1 + (1 * -1 + k * -1) + 5 + -1k = 0 1 + -1 + (-1 + -1k) + 5 + -1k = 0 Reorder the terms: 1 + -1 + -1 + 5 + -1k + -1k = 0 Combine like terms: 1 + -1 = 0 0 + -1 + 5 + -1k + -1k = 0 -1 + 5 + -1k + -1k = 0 Combine like terms: -1 + 5 = 4 4 + -1k + -1k = 0 Combine like terms: -1k + -1k = -2k 4 + -2k = 0 Solving 4 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2k = 0 + -4 -2k = 0 + -4 Combine like terms: 0 + -4 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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