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Simplifying 4(9d + 5) = -32 + -8d Reorder the terms: 4(5 + 9d) = -32 + -8d (5 * 4 + 9d * 4) = -32 + -8d (20 + 36d) = -32 + -8d Solving 20 + 36d = -32 + -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. 20 + 36d + 8d = -32 + -8d + 8d Combine like terms: 36d + 8d = 44d 20 + 44d = -32 + -8d + 8d Combine like terms: -8d + 8d = 0 20 + 44d = -32 + 0 20 + 44d = -32 Add '-20' to each side of the equation. 20 + -20 + 44d = -32 + -20 Combine like terms: 20 + -20 = 0 0 + 44d = -32 + -20 44d = -32 + -20 Combine like terms: -32 + -20 = -52 44d = -52 Divide each side by '44'. d = -1.181818182 Simplifying d = -1.181818182
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