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Simplifying 2d + 0.16 = 6(0.33d + 1) Reorder the terms: 0.16 + 2d = 6(0.33d + 1) Reorder the terms: 0.16 + 2d = 6(1 + 0.33d) 0.16 + 2d = (1 * 6 + 0.33d * 6) 0.16 + 2d = (6 + 1.98d) Solving 0.16 + 2d = 6 + 1.98d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.98d' to each side of the equation. 0.16 + 2d + -1.98d = 6 + 1.98d + -1.98d Combine like terms: 2d + -1.98d = 0.02d 0.16 + 0.02d = 6 + 1.98d + -1.98d Combine like terms: 1.98d + -1.98d = 0.00 0.16 + 0.02d = 6 + 0.00 0.16 + 0.02d = 6 Add '-0.16' to each side of the equation. 0.16 + -0.16 + 0.02d = 6 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 0.02d = 6 + -0.16 0.02d = 6 + -0.16 Combine like terms: 6 + -0.16 = 5.84 0.02d = 5.84 Divide each side by '0.02'. d = 292 Simplifying d = 292
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