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Simplifying 5d + 8 + -4d = -10 + 4d Reorder the terms: 8 + 5d + -4d = -10 + 4d Combine like terms: 5d + -4d = 1d 8 + 1d = -10 + 4d Solving 8 + 1d = -10 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 8 + 1d + -4d = -10 + 4d + -4d Combine like terms: 1d + -4d = -3d 8 + -3d = -10 + 4d + -4d Combine like terms: 4d + -4d = 0 8 + -3d = -10 + 0 8 + -3d = -10 Add '-8' to each side of the equation. 8 + -8 + -3d = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -3d = -10 + -8 -3d = -10 + -8 Combine like terms: -10 + -8 = -18 -3d = -18 Divide each side by '-3'. d = 6 Simplifying d = 6
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