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