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Simplifying 4(2k + 5) + -3k = 66 Reorder the terms: 4(5 + 2k) + -3k = 66 (5 * 4 + 2k * 4) + -3k = 66 (20 + 8k) + -3k = 66 Combine like terms: 8k + -3k = 5k 20 + 5k = 66 Solving 20 + 5k = 66 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 + 5k = 66 + -20 Combine like terms: 20 + -20 = 0 0 + 5k = 66 + -20 5k = 66 + -20 Combine like terms: 66 + -20 = 46 5k = 46 Divide each side by '5'. k = 9.2 Simplifying k = 9.2
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