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Simplifying 4(2k + 1) + -2 = 26 Reorder the terms: 4(1 + 2k) + -2 = 26 (1 * 4 + 2k * 4) + -2 = 26 (4 + 8k) + -2 = 26 Reorder the terms: 4 + -2 + 8k = 26 Combine like terms: 4 + -2 = 2 2 + 8k = 26 Solving 2 + 8k = 26 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 + 8k = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 8k = 26 + -2 8k = 26 + -2 Combine like terms: 26 + -2 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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