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Simplifying 13k + -4 = 2(3k + 5) Reorder the terms: -4 + 13k = 2(3k + 5) Reorder the terms: -4 + 13k = 2(5 + 3k) -4 + 13k = (5 * 2 + 3k * 2) -4 + 13k = (10 + 6k) Solving -4 + 13k = 10 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -4 + 13k + -6k = 10 + 6k + -6k Combine like terms: 13k + -6k = 7k -4 + 7k = 10 + 6k + -6k Combine like terms: 6k + -6k = 0 -4 + 7k = 10 + 0 -4 + 7k = 10 Add '4' to each side of the equation. -4 + 4 + 7k = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7k = 10 + 4 7k = 10 + 4 Combine like terms: 10 + 4 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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