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Simplifying 6k = 2(k + 10) Reorder the terms: 6k = 2(10 + k) 6k = (10 * 2 + k * 2) 6k = (20 + 2k) Solving 6k = 20 + 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. 6k + -2k = 20 + 2k + -2k Combine like terms: 6k + -2k = 4k 4k = 20 + 2k + -2k Combine like terms: 2k + -2k = 0 4k = 20 + 0 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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