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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 = 25 7k = 25 Divide each side by '7'. k = 3.571428571 Simplifying k = 3.571428571
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