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Simplifying 6d + 7 = 8 + 4d + -4 Reorder the terms: 7 + 6d = 8 + 4d + -4 Reorder the terms: 7 + 6d = 8 + -4 + 4d Combine like terms: 8 + -4 = 4 7 + 6d = 4 + 4d Solving 7 + 6d = 4 + 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 + 6d + -4d = 4 + 4d + -4d Combine like terms: 6d + -4d = 2d 7 + 2d = 4 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + 2d = 4 + 0 7 + 2d = 4 Add '-7' to each side of the equation. 7 + -7 + 2d = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 4 + -7 2d = 4 + -7 Combine like terms: 4 + -7 = -3 2d = -3 Divide each side by '2'. d = -1.5 Simplifying d = -1.5
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