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Simplifying 8(2d + 7) = -35 + 4d Reorder the terms: 8(7 + 2d) = -35 + 4d (7 * 8 + 2d * 8) = -35 + 4d (56 + 16d) = -35 + 4d Solving 56 + 16d = -35 + 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. 56 + 16d + -4d = -35 + 4d + -4d Combine like terms: 16d + -4d = 12d 56 + 12d = -35 + 4d + -4d Combine like terms: 4d + -4d = 0 56 + 12d = -35 + 0 56 + 12d = -35 Add '-56' to each side of the equation. 56 + -56 + 12d = -35 + -56 Combine like terms: 56 + -56 = 0 0 + 12d = -35 + -56 12d = -35 + -56 Combine like terms: -35 + -56 = -91 12d = -91 Divide each side by '12'. d = -7.583333333 Simplifying d = -7.583333333
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