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Simplifying -1(3k + -2) = -10 + -5k Reorder the terms: -1(-2 + 3k) = -10 + -5k (-2 * -1 + 3k * -1) = -10 + -5k (2 + -3k) = -10 + -5k Solving 2 + -3k = -10 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 2 + -3k + 5k = -10 + -5k + 5k Combine like terms: -3k + 5k = 2k 2 + 2k = -10 + -5k + 5k Combine like terms: -5k + 5k = 0 2 + 2k = -10 + 0 2 + 2k = -10 Add '-2' to each side of the equation. 2 + -2 + 2k = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = -10 + -2 2k = -10 + -2 Combine like terms: -10 + -2 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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