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Simplifying 8d + 7 = 6d + 5 Reorder the terms: 7 + 8d = 6d + 5 Reorder the terms: 7 + 8d = 5 + 6d Solving 7 + 8d = 5 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 7 + 8d + -6d = 5 + 6d + -6d Combine like terms: 8d + -6d = 2d 7 + 2d = 5 + 6d + -6d Combine like terms: 6d + -6d = 0 7 + 2d = 5 + 0 7 + 2d = 5 Add '-7' to each side of the equation. 7 + -7 + 2d = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 5 + -7 2d = 5 + -7 Combine like terms: 5 + -7 = -2 2d = -2 Divide each side by '2'. d = -1 Simplifying d = -1
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