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Simplifying 2d + -31 = -9d + 24 Reorder the terms: -31 + 2d = -9d + 24 Reorder the terms: -31 + 2d = 24 + -9d Solving -31 + 2d = 24 + -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. -31 + 2d + 9d = 24 + -9d + 9d Combine like terms: 2d + 9d = 11d -31 + 11d = 24 + -9d + 9d Combine like terms: -9d + 9d = 0 -31 + 11d = 24 + 0 -31 + 11d = 24 Add '31' to each side of the equation. -31 + 31 + 11d = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 11d = 24 + 31 11d = 24 + 31 Combine like terms: 24 + 31 = 55 11d = 55 Divide each side by '11'. d = 5 Simplifying d = 5
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