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Simplifying 2(x + -1k) = 2x + 20 Reorder the terms: 2(-1k + x) = 2x + 20 (-1k * 2 + x * 2) = 2x + 20 (-2k + 2x) = 2x + 20 Reorder the terms: -2k + 2x = 20 + 2x Add '-2x' to each side of the equation. -2k + 2x + -2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -2k + 0 = 20 + 2x + -2x -2k = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -2k = 20 + 0 -2k = 20 Solving -2k = 20 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-2'. k = -10 Simplifying k = -10
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