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Simplifying 6(2k + 3) = -28 + -7k Reorder the terms: 6(3 + 2k) = -28 + -7k (3 * 6 + 2k * 6) = -28 + -7k (18 + 12k) = -28 + -7k Solving 18 + 12k = -28 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 18 + 12k + 7k = -28 + -7k + 7k Combine like terms: 12k + 7k = 19k 18 + 19k = -28 + -7k + 7k Combine like terms: -7k + 7k = 0 18 + 19k = -28 + 0 18 + 19k = -28 Add '-18' to each side of the equation. 18 + -18 + 19k = -28 + -18 Combine like terms: 18 + -18 = 0 0 + 19k = -28 + -18 19k = -28 + -18 Combine like terms: -28 + -18 = -46 19k = -46 Divide each side by '19'. k = -2.421052632 Simplifying k = -2.421052632
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