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Simplifying 5(3k + 6) = 7k + 38 Reorder the terms: 5(6 + 3k) = 7k + 38 (6 * 5 + 3k * 5) = 7k + 38 (30 + 15k) = 7k + 38 Reorder the terms: 30 + 15k = 38 + 7k Solving 30 + 15k = 38 + 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. 30 + 15k + -7k = 38 + 7k + -7k Combine like terms: 15k + -7k = 8k 30 + 8k = 38 + 7k + -7k Combine like terms: 7k + -7k = 0 30 + 8k = 38 + 0 30 + 8k = 38 Add '-30' to each side of the equation. 30 + -30 + 8k = 38 + -30 Combine like terms: 30 + -30 = 0 0 + 8k = 38 + -30 8k = 38 + -30 Combine like terms: 38 + -30 = 8 8k = 8 Divide each side by '8'. k = 1 Simplifying k = 1
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