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Simplifying 7(5d + 3) = -20 + 6d Reorder the terms: 7(3 + 5d) = -20 + 6d (3 * 7 + 5d * 7) = -20 + 6d (21 + 35d) = -20 + 6d Solving 21 + 35d = -20 + 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. 21 + 35d + -6d = -20 + 6d + -6d Combine like terms: 35d + -6d = 29d 21 + 29d = -20 + 6d + -6d Combine like terms: 6d + -6d = 0 21 + 29d = -20 + 0 21 + 29d = -20 Add '-21' to each side of the equation. 21 + -21 + 29d = -20 + -21 Combine like terms: 21 + -21 = 0 0 + 29d = -20 + -21 29d = -20 + -21 Combine like terms: -20 + -21 = -41 29d = -41 Divide each side by '29'. d = -1.413793103 Simplifying d = -1.413793103
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