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Simplifying -2(k + -2) = 2k + 1 Reorder the terms: -2(-2 + k) = 2k + 1 (-2 * -2 + k * -2) = 2k + 1 (4 + -2k) = 2k + 1 Reorder the terms: 4 + -2k = 1 + 2k Solving 4 + -2k = 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. 4 + -2k + -2k = 1 + 2k + -2k Combine like terms: -2k + -2k = -4k 4 + -4k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + -4k = 1 + 0 4 + -4k = 1 Add '-4' to each side of the equation. 4 + -4 + -4k = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -4k = 1 + -4 -4k = 1 + -4 Combine like terms: 1 + -4 = -3 -4k = -3 Divide each side by '-4'. k = 0.75 Simplifying k = 0.75
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