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