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Simplifying 11d + (5d + 28) = 9d + -2 Reorder the terms: 11d + (28 + 5d) = 9d + -2 Remove parenthesis around (28 + 5d) 11d + 28 + 5d = 9d + -2 Reorder the terms: 28 + 11d + 5d = 9d + -2 Combine like terms: 11d + 5d = 16d 28 + 16d = 9d + -2 Reorder the terms: 28 + 16d = -2 + 9d Solving 28 + 16d = -2 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 28 + 16d + -9d = -2 + 9d + -9d Combine like terms: 16d + -9d = 7d 28 + 7d = -2 + 9d + -9d Combine like terms: 9d + -9d = 0 28 + 7d = -2 + 0 28 + 7d = -2 Add '-28' to each side of the equation. 28 + -28 + 7d = -2 + -28 Combine like terms: 28 + -28 = 0 0 + 7d = -2 + -28 7d = -2 + -28 Combine like terms: -2 + -28 = -30 7d = -30 Divide each side by '7'. d = -4.285714286 Simplifying d = -4.285714286
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