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Simplifying 2(5 + -1k) = 12 (5 * 2 + -1k * 2) = 12 (10 + -2k) = 12 Solving 10 + -2k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. 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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