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Simplifying 3(2d + 3) = 4d + 3 Reorder the terms: 3(3 + 2d) = 4d + 3 (3 * 3 + 2d * 3) = 4d + 3 (9 + 6d) = 4d + 3 Reorder the terms: 9 + 6d = 3 + 4d Solving 9 + 6d = 3 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 9 + 6d + -4d = 3 + 4d + -4d Combine like terms: 6d + -4d = 2d 9 + 2d = 3 + 4d + -4d Combine like terms: 4d + -4d = 0 9 + 2d = 3 + 0 9 + 2d = 3 Add '-9' to each side of the equation. 9 + -9 + 2d = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 2d = 3 + -9 2d = 3 + -9 Combine like terms: 3 + -9 = -6 2d = -6 Divide each side by '2'. d = -3 Simplifying d = -3
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