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Simplifying 2(5 + -1k) = 12 + -4k (5 * 2 + -1k * 2) = 12 + -4k (10 + -2k) = 12 + -4k Solving 10 + -2k = 12 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 10 + -2k + 4k = 12 + -4k + 4k Combine like terms: -2k + 4k = 2k 10 + 2k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 10 + 2k = 12 + 0 10 + 2k = 12 Add '-10' to each side of the equation. 10 + -10 + 2k = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = 12 + -10 2k = 12 + -10 Combine like terms: 12 + -10 = 2 2k = 2 Divide each side by '2'. k = 1 Simplifying k = 1
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