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Simplifying 4(2k + 1) + -20 = 24 Reorder the terms: 4(1 + 2k) + -20 = 24 (1 * 4 + 2k * 4) + -20 = 24 (4 + 8k) + -20 = 24 Reorder the terms: 4 + -20 + 8k = 24 Combine like terms: 4 + -20 = -16 -16 + 8k = 24 Solving -16 + 8k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8k = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 8k = 24 + 16 8k = 24 + 16 Combine like terms: 24 + 16 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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