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Simplifying 9(6d + 5) = 6d Reorder the terms: 9(5 + 6d) = 6d (5 * 9 + 6d * 9) = 6d (45 + 54d) = 6d Solving 45 + 54d = 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. 45 + 54d + -6d = 6d + -6d Combine like terms: 54d + -6d = 48d 45 + 48d = 6d + -6d Combine like terms: 6d + -6d = 0 45 + 48d = 0 Add '-45' to each side of the equation. 45 + -45 + 48d = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 48d = 0 + -45 48d = 0 + -45 Combine like terms: 0 + -45 = -45 48d = -45 Divide each side by '48'. d = -0.9375 Simplifying d = -0.9375
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