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Simplifying 8(3d + -7) = 29.5 + -4d Reorder the terms: 8(-7 + 3d) = 29.5 + -4d (-7 * 8 + 3d * 8) = 29.5 + -4d (-56 + 24d) = 29.5 + -4d Solving -56 + 24d = 29.5 + -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 + 24d + 4d = 29.5 + -4d + 4d Combine like terms: 24d + 4d = 28d -56 + 28d = 29.5 + -4d + 4d Combine like terms: -4d + 4d = 0 -56 + 28d = 29.5 + 0 -56 + 28d = 29.5 Add '56' to each side of the equation. -56 + 56 + 28d = 29.5 + 56 Combine like terms: -56 + 56 = 0 0 + 28d = 29.5 + 56 28d = 29.5 + 56 Combine like terms: 29.5 + 56 = 85.5 28d = 85.5 Divide each side by '28'. d = 3.053571429 Simplifying d = 3.053571429
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