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Simplifying 3(7d + -9) = 24 + 8d Reorder the terms: 3(-9 + 7d) = 24 + 8d (-9 * 3 + 7d * 3) = 24 + 8d (-27 + 21d) = 24 + 8d Solving -27 + 21d = 24 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -27 + 21d + -8d = 24 + 8d + -8d Combine like terms: 21d + -8d = 13d -27 + 13d = 24 + 8d + -8d Combine like terms: 8d + -8d = 0 -27 + 13d = 24 + 0 -27 + 13d = 24 Add '27' to each side of the equation. -27 + 27 + 13d = 24 + 27 Combine like terms: -27 + 27 = 0 0 + 13d = 24 + 27 13d = 24 + 27 Combine like terms: 24 + 27 = 51 13d = 51 Divide each side by '13'. d = 3.923076923 Simplifying d = 3.923076923
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