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Simplifying 6(2k + 5) = -6k + -6(-2 + -6k) Reorder the terms: 6(5 + 2k) = -6k + -6(-2 + -6k) (5 * 6 + 2k * 6) = -6k + -6(-2 + -6k) (30 + 12k) = -6k + -6(-2 + -6k) 30 + 12k = -6k + (-2 * -6 + -6k * -6) 30 + 12k = -6k + (12 + 36k) Reorder the terms: 30 + 12k = 12 + -6k + 36k Combine like terms: -6k + 36k = 30k 30 + 12k = 12 + 30k Solving 30 + 12k = 12 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 30 + 12k + -30k = 12 + 30k + -30k Combine like terms: 12k + -30k = -18k 30 + -18k = 12 + 30k + -30k Combine like terms: 30k + -30k = 0 30 + -18k = 12 + 0 30 + -18k = 12 Add '-30' to each side of the equation. 30 + -30 + -18k = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -18k = 12 + -30 -18k = 12 + -30 Combine like terms: 12 + -30 = -18 -18k = -18 Divide each side by '-18'. k = 1 Simplifying k = 1
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