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Simplifying 5d + 28 = 11d + 9d + -2 Reorder the terms: 28 + 5d = 11d + 9d + -2 Reorder the terms: 28 + 5d = -2 + 11d + 9d Combine like terms: 11d + 9d = 20d 28 + 5d = -2 + 20d Solving 28 + 5d = -2 + 20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20d' to each side of the equation. 28 + 5d + -20d = -2 + 20d + -20d Combine like terms: 5d + -20d = -15d 28 + -15d = -2 + 20d + -20d Combine like terms: 20d + -20d = 0 28 + -15d = -2 + 0 28 + -15d = -2 Add '-28' to each side of the equation. 28 + -28 + -15d = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -15d = -2 + -28 -15d = -2 + -28 Combine like terms: -2 + -28 = -30 -15d = -30 Divide each side by '-15'. d = 2 Simplifying d = 2
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