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Simplifying 5d + 4 + -1d = 8d + 2 Reorder the terms: 4 + 5d + -1d = 8d + 2 Combine like terms: 5d + -1d = 4d 4 + 4d = 8d + 2 Reorder the terms: 4 + 4d = 2 + 8d Solving 4 + 4d = 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. 4 + 4d + -8d = 2 + 8d + -8d Combine like terms: 4d + -8d = -4d 4 + -4d = 2 + 8d + -8d Combine like terms: 8d + -8d = 0 4 + -4d = 2 + 0 4 + -4d = 2 Add '-4' to each side of the equation. 4 + -4 + -4d = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -4d = 2 + -4 -4d = 2 + -4 Combine like terms: 2 + -4 = -2 -4d = -2 Divide each side by '-4'. d = 0.5 Simplifying d = 0.5
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