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Simplifying 0.10d + 12 = 0.12d + 10 Reorder the terms: 12 + 0.10d = 0.12d + 10 Reorder the terms: 12 + 0.10d = 10 + 0.12d Solving 12 + 0.10d = 10 + 0.12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.12d' to each side of the equation. 12 + 0.10d + -0.12d = 10 + 0.12d + -0.12d Combine like terms: 0.10d + -0.12d = -0.02d 12 + -0.02d = 10 + 0.12d + -0.12d Combine like terms: 0.12d + -0.12d = 0.00 12 + -0.02d = 10 + 0.00 12 + -0.02d = 10 Add '-12' to each side of the equation. 12 + -12 + -0.02d = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -0.02d = 10 + -12 -0.02d = 10 + -12 Combine like terms: 10 + -12 = -2 -0.02d = -2 Divide each side by '-0.02'. d = 100 Simplifying d = 100
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