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