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Simplifying 6k + 4 = 2(k + 6) Reorder the terms: 4 + 6k = 2(k + 6) Reorder the terms: 4 + 6k = 2(6 + k) 4 + 6k = (6 * 2 + k * 2) 4 + 6k = (12 + 2k) Solving 4 + 6k = 12 + 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 + 6k + -2k = 12 + 2k + -2k Combine like terms: 6k + -2k = 4k 4 + 4k = 12 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + 4k = 12 + 0 4 + 4k = 12 Add '-4' to each side of the equation. 4 + -4 + 4k = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 12 + -4 4k = 12 + -4 Combine like terms: 12 + -4 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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