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Simplifying 2(2k + -1) = (k + -2) Reorder the terms: 2(-1 + 2k) = (k + -2) (-1 * 2 + 2k * 2) = (k + -2) (-2 + 4k) = (k + -2) Reorder the terms: -2 + 4k = (-2 + k) Remove parenthesis around (-2 + k) -2 + 4k = -2 + k Add '2' to each side of the equation. -2 + 2 + 4k = -2 + 2 + k Combine like terms: -2 + 2 = 0 0 + 4k = -2 + 2 + k 4k = -2 + 2 + k Combine like terms: -2 + 2 = 0 4k = 0 + k 4k = k Solving 4k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 4k + -1k = k + -1k Combine like terms: 4k + -1k = 3k 3k = k + -1k Combine like terms: k + -1k = 0 3k = 0 Divide each side by '3'. k = 0 Simplifying k = 0
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