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Simplifying 13k + -24 = 2(3k + 2) Reorder the terms: -24 + 13k = 2(3k + 2) Reorder the terms: -24 + 13k = 2(2 + 3k) -24 + 13k = (2 * 2 + 3k * 2) -24 + 13k = (4 + 6k) Solving -24 + 13k = 4 + 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. -24 + 13k + -6k = 4 + 6k + -6k Combine like terms: 13k + -6k = 7k -24 + 7k = 4 + 6k + -6k Combine like terms: 6k + -6k = 0 -24 + 7k = 4 + 0 -24 + 7k = 4 Add '24' to each side of the equation. -24 + 24 + 7k = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 7k = 4 + 24 7k = 4 + 24 Combine like terms: 4 + 24 = 28 7k = 28 Divide each side by '7'. k = 4 Simplifying k = 4
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