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Simplifying 11 + -3(2k + -1) = 2(6 + -1k) Reorder the terms: 11 + -3(-1 + 2k) = 2(6 + -1k) 11 + (-1 * -3 + 2k * -3) = 2(6 + -1k) 11 + (3 + -6k) = 2(6 + -1k) Combine like terms: 11 + 3 = 14 14 + -6k = 2(6 + -1k) 14 + -6k = (6 * 2 + -1k * 2) 14 + -6k = (12 + -2k) Solving 14 + -6k = 12 + -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. 14 + -6k + 2k = 12 + -2k + 2k Combine like terms: -6k + 2k = -4k 14 + -4k = 12 + -2k + 2k Combine like terms: -2k + 2k = 0 14 + -4k = 12 + 0 14 + -4k = 12 Add '-14' to each side of the equation. 14 + -14 + -4k = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -4k = 12 + -14 -4k = 12 + -14 Combine like terms: 12 + -14 = -2 -4k = -2 Divide each side by '-4'. k = 0.5 Simplifying k = 0.5
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