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Simplifying 2(2k + 6) + -14 = 6 + 5k Reorder the terms: 2(6 + 2k) + -14 = 6 + 5k (6 * 2 + 2k * 2) + -14 = 6 + 5k (12 + 4k) + -14 = 6 + 5k Reorder the terms: 12 + -14 + 4k = 6 + 5k Combine like terms: 12 + -14 = -2 -2 + 4k = 6 + 5k Solving -2 + 4k = 6 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -2 + 4k + -5k = 6 + 5k + -5k Combine like terms: 4k + -5k = -1k -2 + -1k = 6 + 5k + -5k Combine like terms: 5k + -5k = 0 -2 + -1k = 6 + 0 -2 + -1k = 6 Add '2' to each side of the equation. -2 + 2 + -1k = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = 6 + 2 -1k = 6 + 2 Combine like terms: 6 + 2 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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