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Simplifying 7d + 8 = 10 + 8d + 3 Reorder the terms: 8 + 7d = 10 + 8d + 3 Reorder the terms: 8 + 7d = 10 + 3 + 8d Combine like terms: 10 + 3 = 13 8 + 7d = 13 + 8d Solving 8 + 7d = 13 + 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. 8 + 7d + -8d = 13 + 8d + -8d Combine like terms: 7d + -8d = -1d 8 + -1d = 13 + 8d + -8d Combine like terms: 8d + -8d = 0 8 + -1d = 13 + 0 8 + -1d = 13 Add '-8' to each side of the equation. 8 + -8 + -1d = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -1d = 13 + -8 -1d = 13 + -8 Combine like terms: 13 + -8 = 5 -1d = 5 Divide each side by '-1'. d = -5 Simplifying d = -5
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