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Simplifying 3(5k + 6) = -34 + 7k Reorder the terms: 3(6 + 5k) = -34 + 7k (6 * 3 + 5k * 3) = -34 + 7k (18 + 15k) = -34 + 7k Solving 18 + 15k = -34 + 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 + 15k + -7k = -34 + 7k + -7k Combine like terms: 15k + -7k = 8k 18 + 8k = -34 + 7k + -7k Combine like terms: 7k + -7k = 0 18 + 8k = -34 + 0 18 + 8k = -34 Add '-18' to each side of the equation. 18 + -18 + 8k = -34 + -18 Combine like terms: 18 + -18 = 0 0 + 8k = -34 + -18 8k = -34 + -18 Combine like terms: -34 + -18 = -52 8k = -52 Divide each side by '8'. k = -6.5 Simplifying k = -6.5
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