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Simplifying 7d + 5 = 8d + 1 Reorder the terms: 5 + 7d = 8d + 1 Reorder the terms: 5 + 7d = 1 + 8d Solving 5 + 7d = 1 + 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. 5 + 7d + -8d = 1 + 8d + -8d Combine like terms: 7d + -8d = -1d 5 + -1d = 1 + 8d + -8d Combine like terms: 8d + -8d = 0 5 + -1d = 1 + 0 5 + -1d = 1 Add '-5' to each side of the equation. 5 + -5 + -1d = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1d = 1 + -5 -1d = 1 + -5 Combine like terms: 1 + -5 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4
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