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Simplifying 6(k + 2) = 2k + 14 Reorder the terms: 6(2 + k) = 2k + 14 (2 * 6 + k * 6) = 2k + 14 (12 + 6k) = 2k + 14 Reorder the terms: 12 + 6k = 14 + 2k Solving 12 + 6k = 14 + 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. 12 + 6k + -2k = 14 + 2k + -2k Combine like terms: 6k + -2k = 4k 12 + 4k = 14 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 4k = 14 + 0 12 + 4k = 14 Add '-12' to each side of the equation. 12 + -12 + 4k = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 4k = 14 + -12 4k = 14 + -12 Combine like terms: 14 + -12 = 2 4k = 2 Divide each side by '4'. k = 0.5 Simplifying k = 0.5
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