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Simplifying 9(6d + 6) = 7(7d + 6) Reorder the terms: 9(6 + 6d) = 7(7d + 6) (6 * 9 + 6d * 9) = 7(7d + 6) (54 + 54d) = 7(7d + 6) Reorder the terms: 54 + 54d = 7(6 + 7d) 54 + 54d = (6 * 7 + 7d * 7) 54 + 54d = (42 + 49d) Solving 54 + 54d = 42 + 49d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-49d' to each side of the equation. 54 + 54d + -49d = 42 + 49d + -49d Combine like terms: 54d + -49d = 5d 54 + 5d = 42 + 49d + -49d Combine like terms: 49d + -49d = 0 54 + 5d = 42 + 0 54 + 5d = 42 Add '-54' to each side of the equation. 54 + -54 + 5d = 42 + -54 Combine like terms: 54 + -54 = 0 0 + 5d = 42 + -54 5d = 42 + -54 Combine like terms: 42 + -54 = -12 5d = -12 Divide each side by '5'. d = -2.4 Simplifying d = -2.4
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