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Simplifying 11d + (9d + -2) = 5d + 28 Reorder the terms: 11d + (-2 + 9d) = 5d + 28 Remove parenthesis around (-2 + 9d) 11d + -2 + 9d = 5d + 28 Reorder the terms: -2 + 11d + 9d = 5d + 28 Combine like terms: 11d + 9d = 20d -2 + 20d = 5d + 28 Reorder the terms: -2 + 20d = 28 + 5d Solving -2 + 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. -2 + 20d + -5d = 28 + 5d + -5d Combine like terms: 20d + -5d = 15d -2 + 15d = 28 + 5d + -5d Combine like terms: 5d + -5d = 0 -2 + 15d = 28 + 0 -2 + 15d = 28 Add '2' to each side of the equation. -2 + 2 + 15d = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 15d = 28 + 2 15d = 28 + 2 Combine like terms: 28 + 2 = 30 15d = 30 Divide each side by '15'. d = 2 Simplifying d = 2
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