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Simplifying 1.8d + 31 = 3.4d + 9 Reorder the terms: 31 + 1.8d = 3.4d + 9 Reorder the terms: 31 + 1.8d = 9 + 3.4d Solving 31 + 1.8d = 9 + 3.4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.4d' to each side of the equation. 31 + 1.8d + -3.4d = 9 + 3.4d + -3.4d Combine like terms: 1.8d + -3.4d = -1.6d 31 + -1.6d = 9 + 3.4d + -3.4d Combine like terms: 3.4d + -3.4d = 0.0 31 + -1.6d = 9 + 0.0 31 + -1.6d = 9 Add '-31' to each side of the equation. 31 + -31 + -1.6d = 9 + -31 Combine like terms: 31 + -31 = 0 0 + -1.6d = 9 + -31 -1.6d = 9 + -31 Combine like terms: 9 + -31 = -22 -1.6d = -22 Divide each side by '-1.6'. d = 13.75 Simplifying d = 13.75
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