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Simplifying 5(2k + 1) + -2 = 23 Reorder the terms: 5(1 + 2k) + -2 = 23 (1 * 5 + 2k * 5) + -2 = 23 (5 + 10k) + -2 = 23 Reorder the terms: 5 + -2 + 10k = 23 Combine like terms: 5 + -2 = 3 3 + 10k = 23 Solving 3 + 10k = 23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10k = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 10k = 23 + -3 10k = 23 + -3 Combine like terms: 23 + -3 = 20 10k = 20 Divide each side by '10'. k = 2 Simplifying k = 2
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