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Simplifying 3(7d + -8) = 28 + 9d Reorder the terms: 3(-8 + 7d) = 28 + 9d (-8 * 3 + 7d * 3) = 28 + 9d (-24 + 21d) = 28 + 9d Solving -24 + 21d = 28 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -24 + 21d + -9d = 28 + 9d + -9d Combine like terms: 21d + -9d = 12d -24 + 12d = 28 + 9d + -9d Combine like terms: 9d + -9d = 0 -24 + 12d = 28 + 0 -24 + 12d = 28 Add '24' to each side of the equation. -24 + 24 + 12d = 28 + 24 Combine like terms: -24 + 24 = 0 0 + 12d = 28 + 24 12d = 28 + 24 Combine like terms: 28 + 24 = 52 12d = 52 Divide each side by '12'. d = 4.333333333 Simplifying d = 4.333333333
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