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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 = -4k 20 + -4k = 3k + -3k Combine like terms: 3k + -3k = 0 20 + -4k = 0 Add '-20' to each side of the equation. 20 + -20 + -4k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4k = 0 + -20 -4k = 0 + -20 Combine like terms: 0 + -20 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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