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Simplifying 30(6.2 + 0.8d) + 50d = 290 (6.2 * 30 + 0.8d * 30) + 50d = 290 (186 + 24d) + 50d = 290 Combine like terms: 24d + 50d = 74d 186 + 74d = 290 Solving 186 + 74d = 290 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-186' to each side of the equation. 186 + -186 + 74d = 290 + -186 Combine like terms: 186 + -186 = 0 0 + 74d = 290 + -186 74d = 290 + -186 Combine like terms: 290 + -186 = 104 74d = 104 Divide each side by '74'. d = 1.405405405 Simplifying d = 1.405405405
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