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Simplifying 7d + -3 + 2d = 5d + -8 + -1 Reorder the terms: -3 + 7d + 2d = 5d + -8 + -1 Combine like terms: 7d + 2d = 9d -3 + 9d = 5d + -8 + -1 Reorder the terms: -3 + 9d = -8 + -1 + 5d Combine like terms: -8 + -1 = -9 -3 + 9d = -9 + 5d Solving -3 + 9d = -9 + 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. -3 + 9d + -5d = -9 + 5d + -5d Combine like terms: 9d + -5d = 4d -3 + 4d = -9 + 5d + -5d Combine like terms: 5d + -5d = 0 -3 + 4d = -9 + 0 -3 + 4d = -9 Add '3' to each side of the equation. -3 + 3 + 4d = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 4d = -9 + 3 4d = -9 + 3 Combine like terms: -9 + 3 = -6 4d = -6 Divide each side by '4'. d = -1.5 Simplifying d = -1.5
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