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Simplifying 11d + 9d + 12 = 5d + 28 Reorder the terms: 12 + 11d + 9d = 5d + 28 Combine like terms: 11d + 9d = 20d 12 + 20d = 5d + 28 Reorder the terms: 12 + 20d = 28 + 5d Solving 12 + 20d = 28 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 12 + 20d + -5d = 28 + 5d + -5d Combine like terms: 20d + -5d = 15d 12 + 15d = 28 + 5d + -5d Combine like terms: 5d + -5d = 0 12 + 15d = 28 + 0 12 + 15d = 28 Add '-12' to each side of the equation. 12 + -12 + 15d = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 15d = 28 + -12 15d = 28 + -12 Combine like terms: 28 + -12 = 16 15d = 16 Divide each side by '15'. d = 1.066666667 Simplifying d = 1.066666667
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