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Simplifying 9d + 2d + -5d + -2 = 5d Reorder the terms: -2 + 9d + 2d + -5d = 5d Combine like terms: 9d + 2d = 11d -2 + 11d + -5d = 5d Combine like terms: 11d + -5d = 6d -2 + 6d = 5d Solving -2 + 6d = 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 + 6d + -5d = 5d + -5d Combine like terms: 6d + -5d = 1d -2 + 1d = 5d + -5d Combine like terms: 5d + -5d = 0 -2 + 1d = 0 Add '2' to each side of the equation. -2 + 2 + 1d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1d = 0 + 2 1d = 0 + 2 Combine like terms: 0 + 2 = 2 1d = 2 Divide each side by '1'. d = 2 Simplifying d = 2
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