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Simplifying -1d + 2 = -5d + 9 + -3d Reorder the terms: 2 + -1d = -5d + 9 + -3d Reorder the terms: 2 + -1d = 9 + -5d + -3d Combine like terms: -5d + -3d = -8d 2 + -1d = 9 + -8d Solving 2 + -1d = 9 + -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. 2 + -1d + 8d = 9 + -8d + 8d Combine like terms: -1d + 8d = 7d 2 + 7d = 9 + -8d + 8d Combine like terms: -8d + 8d = 0 2 + 7d = 9 + 0 2 + 7d = 9 Add '-2' to each side of the equation. 2 + -2 + 7d = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7d = 9 + -2 7d = 9 + -2 Combine like terms: 9 + -2 = 7 7d = 7 Divide each side by '7'. d = 1 Simplifying d = 1
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