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Simplifying 6(4k + 2) = 2k + 14 Reorder the terms: 6(2 + 4k) = 2k + 14 (2 * 6 + 4k * 6) = 2k + 14 (12 + 24k) = 2k + 14 Reorder the terms: 12 + 24k = 14 + 2k Solving 12 + 24k = 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 + 24k + -2k = 14 + 2k + -2k Combine like terms: 24k + -2k = 22k 12 + 22k = 14 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 22k = 14 + 0 12 + 22k = 14 Add '-12' to each side of the equation. 12 + -12 + 22k = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 22k = 14 + -12 22k = 14 + -12 Combine like terms: 14 + -12 = 2 22k = 2 Divide each side by '22'. k = 0.09090909091 Simplifying k = 0.09090909091
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