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Simplifying 0.1d + 0.25(d + 8) = 4.1 Reorder the terms: 0.1d + 0.25(8 + d) = 4.1 0.1d + (8 * 0.25 + d * 0.25) = 4.1 0.1d + (2 + 0.25d) = 4.1 Reorder the terms: 2 + 0.1d + 0.25d = 4.1 Combine like terms: 0.1d + 0.25d = 0.35d 2 + 0.35d = 4.1 Solving 2 + 0.35d = 4.1 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.35d = 4.1 + -2 Combine like terms: 2 + -2 = 0 0 + 0.35d = 4.1 + -2 0.35d = 4.1 + -2 Combine like terms: 4.1 + -2 = 2.1 0.35d = 2.1 Divide each side by '0.35'. d = 6 Simplifying d = 6
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