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Simplifying -6(3 + -2k) = 14 + 8k (3 * -6 + -2k * -6) = 14 + 8k (-18 + 12k) = 14 + 8k Solving -18 + 12k = 14 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -18 + 12k + -8k = 14 + 8k + -8k Combine like terms: 12k + -8k = 4k -18 + 4k = 14 + 8k + -8k Combine like terms: 8k + -8k = 0 -18 + 4k = 14 + 0 -18 + 4k = 14 Add '18' to each side of the equation. -18 + 18 + 4k = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 4k = 14 + 18 4k = 14 + 18 Combine like terms: 14 + 18 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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