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Simplifying 5k + 2(k + 1) = 23 Reorder the terms: 5k + 2(1 + k) = 23 5k + (1 * 2 + k * 2) = 23 5k + (2 + 2k) = 23 Reorder the terms: 2 + 5k + 2k = 23 Combine like terms: 5k + 2k = 7k 2 + 7k = 23 Solving 2 + 7k = 23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7k = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 23 + -2 7k = 23 + -2 Combine like terms: 23 + -2 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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