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Simplifying 3(2 + -1k) = 4k + -8 (2 * 3 + -1k * 3) = 4k + -8 (6 + -3k) = 4k + -8 Reorder the terms: 6 + -3k = -8 + 4k Solving 6 + -3k = -8 + 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. 6 + -3k + -4k = -8 + 4k + -4k Combine like terms: -3k + -4k = -7k 6 + -7k = -8 + 4k + -4k Combine like terms: 4k + -4k = 0 6 + -7k = -8 + 0 6 + -7k = -8 Add '-6' to each side of the equation. 6 + -6 + -7k = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -7k = -8 + -6 -7k = -8 + -6 Combine like terms: -8 + -6 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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