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Simplifying -5d + 3 = -10 + -8 + -8d Reorder the terms: 3 + -5d = -10 + -8 + -8d Combine like terms: -10 + -8 = -18 3 + -5d = -18 + -8d Solving 3 + -5d = -18 + -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 + -5d + 8d = -18 + -8d + 8d Combine like terms: -5d + 8d = 3d 3 + 3d = -18 + -8d + 8d Combine like terms: -8d + 8d = 0 3 + 3d = -18 + 0 3 + 3d = -18 Add '-3' to each side of the equation. 3 + -3 + 3d = -18 + -3 Combine like terms: 3 + -3 = 0 0 + 3d = -18 + -3 3d = -18 + -3 Combine like terms: -18 + -3 = -21 3d = -21 Divide each side by '3'. d = -7 Simplifying d = -7
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