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Simplifying 7(4d + -8) = 29 + 6d Reorder the terms: 7(-8 + 4d) = 29 + 6d (-8 * 7 + 4d * 7) = 29 + 6d (-56 + 28d) = 29 + 6d Solving -56 + 28d = 29 + 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. -56 + 28d + -6d = 29 + 6d + -6d Combine like terms: 28d + -6d = 22d -56 + 22d = 29 + 6d + -6d Combine like terms: 6d + -6d = 0 -56 + 22d = 29 + 0 -56 + 22d = 29 Add '56' to each side of the equation. -56 + 56 + 22d = 29 + 56 Combine like terms: -56 + 56 = 0 0 + 22d = 29 + 56 22d = 29 + 56 Combine like terms: 29 + 56 = 85 22d = 85 Divide each side by '22'. d = 3.863636364 Simplifying d = 3.863636364
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