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Simplifying 8.6d + 6 = 3.3d + 42.57 Reorder the terms: 6 + 8.6d = 3.3d + 42.57 Reorder the terms: 6 + 8.6d = 42.57 + 3.3d Solving 6 + 8.6d = 42.57 + 3.3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.3d' to each side of the equation. 6 + 8.6d + -3.3d = 42.57 + 3.3d + -3.3d Combine like terms: 8.6d + -3.3d = 5.3d 6 + 5.3d = 42.57 + 3.3d + -3.3d Combine like terms: 3.3d + -3.3d = 0.0 6 + 5.3d = 42.57 + 0.0 6 + 5.3d = 42.57 Add '-6' to each side of the equation. 6 + -6 + 5.3d = 42.57 + -6 Combine like terms: 6 + -6 = 0 0 + 5.3d = 42.57 + -6 5.3d = 42.57 + -6 Combine like terms: 42.57 + -6 = 36.57 5.3d = 36.57 Divide each side by '5.3'. d = 6.9 Simplifying d = 6.9
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