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Simplifying 5 + 9d = 8d + -2 Reorder the terms: 5 + 9d = -2 + 8d Solving 5 + 9d = -2 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 5 + 9d + -8d = -2 + 8d + -8d Combine like terms: 9d + -8d = 1d 5 + 1d = -2 + 8d + -8d Combine like terms: 8d + -8d = 0 5 + 1d = -2 + 0 5 + 1d = -2 Add '-5' to each side of the equation. 5 + -5 + 1d = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1d = -2 + -5 1d = -2 + -5 Combine like terms: -2 + -5 = -7 1d = -7 Divide each side by '1'. d = -7 Simplifying d = -7
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