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Simplifying 3(4d + -8) = 17 + -6d Reorder the terms: 3(-8 + 4d) = 17 + -6d (-8 * 3 + 4d * 3) = 17 + -6d (-24 + 12d) = 17 + -6d Solving -24 + 12d = 17 + -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. -24 + 12d + 6d = 17 + -6d + 6d Combine like terms: 12d + 6d = 18d -24 + 18d = 17 + -6d + 6d Combine like terms: -6d + 6d = 0 -24 + 18d = 17 + 0 -24 + 18d = 17 Add '24' to each side of the equation. -24 + 24 + 18d = 17 + 24 Combine like terms: -24 + 24 = 0 0 + 18d = 17 + 24 18d = 17 + 24 Combine like terms: 17 + 24 = 41 18d = 41 Divide each side by '18'. d = 2.277777778 Simplifying d = 2.277777778
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