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Simplifying 4(5 + 6k) = 212 (5 * 4 + 6k * 4) = 212 (20 + 24k) = 212 Solving 20 + 24k = 212 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 + 24k = 212 + -20 Combine like terms: 20 + -20 = 0 0 + 24k = 212 + -20 24k = 212 + -20 Combine like terms: 212 + -20 = 192 24k = 192 Divide each side by '24'. k = 8 Simplifying k = 8
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