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Simplifying -1(3k + -2) = 2(k + 2) Reorder the terms: -1(-2 + 3k) = 2(k + 2) (-2 * -1 + 3k * -1) = 2(k + 2) (2 + -3k) = 2(k + 2) Reorder the terms: 2 + -3k = 2(2 + k) 2 + -3k = (2 * 2 + k * 2) 2 + -3k = (4 + 2k) Solving 2 + -3k = 4 + 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. 2 + -3k + -2k = 4 + 2k + -2k Combine like terms: -3k + -2k = -5k 2 + -5k = 4 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + -5k = 4 + 0 2 + -5k = 4 Add '-2' to each side of the equation. 2 + -2 + -5k = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -5k = 4 + -2 -5k = 4 + -2 Combine like terms: 4 + -2 = 2 -5k = 2 Divide each side by '-5'. k = -0.4 Simplifying k = -0.4
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