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Simplifying 2(2 + -2k) = 3k (2 * 2 + -2k * 2) = 3k (4 + -4k) = 3k Solving 4 + -4k = 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. 4 + -4k + -3k = 3k + -3k Combine like terms: -4k + -3k = -7k 4 + -7k = 3k + -3k Combine like terms: 3k + -3k = 0 4 + -7k = 0 Add '-4' to each side of the equation. 4 + -4 + -7k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7k = 0 + -4 -7k = 0 + -4 Combine like terms: 0 + -4 = -4 -7k = -4 Divide each side by '-7'. k = 0.5714285714 Simplifying k = 0.5714285714
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