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Simplifying 15 + 7k = 5(9k + 6) Reorder the terms: 15 + 7k = 5(6 + 9k) 15 + 7k = (6 * 5 + 9k * 5) 15 + 7k = (30 + 45k) Solving 15 + 7k = 30 + 45k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45k' to each side of the equation. 15 + 7k + -45k = 30 + 45k + -45k Combine like terms: 7k + -45k = -38k 15 + -38k = 30 + 45k + -45k Combine like terms: 45k + -45k = 0 15 + -38k = 30 + 0 15 + -38k = 30 Add '-15' to each side of the equation. 15 + -15 + -38k = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -38k = 30 + -15 -38k = 30 + -15 Combine like terms: 30 + -15 = 15 -38k = 15 Divide each side by '-38'. k = -0.3947368421 Simplifying k = -0.3947368421
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