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