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Simplifying 5k + 2(k + 1) = 3(2k + 5) Reorder the terms: 5k + 2(1 + k) = 3(2k + 5) 5k + (1 * 2 + k * 2) = 3(2k + 5) 5k + (2 + 2k) = 3(2k + 5) Reorder the terms: 2 + 5k + 2k = 3(2k + 5) Combine like terms: 5k + 2k = 7k 2 + 7k = 3(2k + 5) Reorder the terms: 2 + 7k = 3(5 + 2k) 2 + 7k = (5 * 3 + 2k * 3) 2 + 7k = (15 + 6k) Solving 2 + 7k = 15 + 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. 2 + 7k + -6k = 15 + 6k + -6k Combine like terms: 7k + -6k = 1k 2 + 1k = 15 + 6k + -6k Combine like terms: 6k + -6k = 0 2 + 1k = 15 + 0 2 + 1k = 15 Add '-2' to each side of the equation. 2 + -2 + 1k = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 15 + -2 1k = 15 + -2 Combine like terms: 15 + -2 = 13 1k = 13 Divide each side by '1'. k = 13 Simplifying k = 13
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