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Simplifying k + -2(k + -10) = (-3k) Reorder the terms: k + -2(-10 + k) = (-3k) k + (-10 * -2 + k * -2) = (-3k) k + (20 + -2k) = (-3k) Reorder the terms: 20 + k + -2k = (-3k) Combine like terms: k + -2k = -1k 20 + -1k = (-3k) Solving 20 + -1k = (-3k) Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '(3k)' to each side of the equation. 20 + -1k + (3k) = (-3k) + (3k) Combine like terms: -1k + (3k) = 2k 20 + 2k = (-3k) + (3k) Combine like terms: (-3k) + (3k) = 0 20 + 2k = 0 Add '-20' to each side of the equation. 20 + -20 + 2k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2k = 0 + -20 2k = 0 + -20 Combine like terms: 0 + -20 = -20 2k = -20 Divide each side by '2'. k = -10 Simplifying k = -10
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