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Simplifying -1(2k + -1) = 7 Reorder the terms: -1(-1 + 2k) = 7 (-1 * -1 + 2k * -1) = 7 (1 + -2k) = 7 Solving 1 + -2k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2k = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = 7 + -1 -2k = 7 + -1 Combine like terms: 7 + -1 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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