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Simplifying 13k + 3 = 7k + -15 Reorder the terms: 3 + 13k = 7k + -15 Reorder the terms: 3 + 13k = -15 + 7k Solving 3 + 13k = -15 + 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. 3 + 13k + -7k = -15 + 7k + -7k Combine like terms: 13k + -7k = 6k 3 + 6k = -15 + 7k + -7k Combine like terms: 7k + -7k = 0 3 + 6k = -15 + 0 3 + 6k = -15 Add '-3' to each side of the equation. 3 + -3 + 6k = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 6k = -15 + -3 6k = -15 + -3 Combine like terms: -15 + -3 = -18 6k = -18 Divide each side by '6'. k = -3 Simplifying k = -3
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