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Simplifying 5d + -3 + 2d = 40 + 9 Reorder the terms: -3 + 5d + 2d = 40 + 9 Combine like terms: 5d + 2d = 7d -3 + 7d = 40 + 9 Combine like terms: 40 + 9 = 49 -3 + 7d = 49 Solving -3 + 7d = 49 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7d = 49 + 3 Combine like terms: -3 + 3 = 0 0 + 7d = 49 + 3 7d = 49 + 3 Combine like terms: 49 + 3 = 52 7d = 52 Divide each side by '7'. d = 7.428571429 Simplifying d = 7.428571429
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