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Simplifying 4(9d + 5) = -34 + -7d Reorder the terms: 4(5 + 9d) = -34 + -7d (5 * 4 + 9d * 4) = -34 + -7d (20 + 36d) = -34 + -7d Solving 20 + 36d = -34 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. 20 + 36d + 7d = -34 + -7d + 7d Combine like terms: 36d + 7d = 43d 20 + 43d = -34 + -7d + 7d Combine like terms: -7d + 7d = 0 20 + 43d = -34 + 0 20 + 43d = -34 Add '-20' to each side of the equation. 20 + -20 + 43d = -34 + -20 Combine like terms: 20 + -20 = 0 0 + 43d = -34 + -20 43d = -34 + -20 Combine like terms: -34 + -20 = -54 43d = -54 Divide each side by '43'. d = -1.255813953 Simplifying d = -1.255813953
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