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Simplifying 5k + 2(k + 1) = 223 Reorder the terms: 5k + 2(1 + k) = 223 5k + (1 * 2 + k * 2) = 223 5k + (2 + 2k) = 223 Reorder the terms: 2 + 5k + 2k = 223 Combine like terms: 5k + 2k = 7k 2 + 7k = 223 Solving 2 + 7k = 223 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 = 223 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 223 + -2 7k = 223 + -2 Combine like terms: 223 + -2 = 221 7k = 221 Divide each side by '7'. k = 31.57142857 Simplifying k = 31.57142857
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