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Simplifying 4(2k + 1) + -1 = 5 Reorder the terms: 4(1 + 2k) + -1 = 5 (1 * 4 + 2k * 4) + -1 = 5 (4 + 8k) + -1 = 5 Reorder the terms: 4 + -1 + 8k = 5 Combine like terms: 4 + -1 = 3 3 + 8k = 5 Solving 3 + 8k = 5 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 + 8k = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 8k = 5 + -3 8k = 5 + -3 Combine like terms: 5 + -3 = 2 8k = 2 Divide each side by '8'. k = 0.25 Simplifying k = 0.25
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