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Simplifying 10.9d + 7 = 2.5d + 53.20 Reorder the terms: 7 + 10.9d = 2.5d + 53.20 Reorder the terms: 7 + 10.9d = 53.20 + 2.5d Solving 7 + 10.9d = 53.20 + 2.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.5d' to each side of the equation. 7 + 10.9d + -2.5d = 53.20 + 2.5d + -2.5d Combine like terms: 10.9d + -2.5d = 8.4d 7 + 8.4d = 53.20 + 2.5d + -2.5d Combine like terms: 2.5d + -2.5d = 0.0 7 + 8.4d = 53.20 + 0.0 7 + 8.4d = 53.20 Add '-7' to each side of the equation. 7 + -7 + 8.4d = 53.20 + -7 Combine like terms: 7 + -7 = 0 0 + 8.4d = 53.20 + -7 8.4d = 53.20 + -7 Combine like terms: 53.20 + -7 = 46.2 8.4d = 46.2 Divide each side by '8.4'. d = 5.5 Simplifying d = 5.5
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