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Simplifying 4(8k + 5) = 84 Reorder the terms: 4(5 + 8k) = 84 (5 * 4 + 8k * 4) = 84 (20 + 32k) = 84 Solving 20 + 32k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 32k = 84 + -20 Combine like terms: 20 + -20 = 0 0 + 32k = 84 + -20 32k = 84 + -20 Combine like terms: 84 + -20 = 64 32k = 64 Divide each side by '32'. k = 2 Simplifying k = 2
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