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Simplifying 6d + -0.33(12 + -9d) = 41 6d + (12 * -0.33 + -9d * -0.33) = 41 6d + (-3.96 + 2.97d) = 41 Reorder the terms: -3.96 + 6d + 2.97d = 41 Combine like terms: 6d + 2.97d = 8.97d -3.96 + 8.97d = 41 Solving -3.96 + 8.97d = 41 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3.96' to each side of the equation. -3.96 + 3.96 + 8.97d = 41 + 3.96 Combine like terms: -3.96 + 3.96 = 0.00 0.00 + 8.97d = 41 + 3.96 8.97d = 41 + 3.96 Combine like terms: 41 + 3.96 = 44.96 8.97d = 44.96 Divide each side by '8.97'. d = 5.012263099 Simplifying d = 5.012263099
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