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Simplifying 4(3d + 1) = 3(2d + 3) Reorder the terms: 4(1 + 3d) = 3(2d + 3) (1 * 4 + 3d * 4) = 3(2d + 3) (4 + 12d) = 3(2d + 3) Reorder the terms: 4 + 12d = 3(3 + 2d) 4 + 12d = (3 * 3 + 2d * 3) 4 + 12d = (9 + 6d) Solving 4 + 12d = 9 + 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. 4 + 12d + -6d = 9 + 6d + -6d Combine like terms: 12d + -6d = 6d 4 + 6d = 9 + 6d + -6d Combine like terms: 6d + -6d = 0 4 + 6d = 9 + 0 4 + 6d = 9 Add '-4' to each side of the equation. 4 + -4 + 6d = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 6d = 9 + -4 6d = 9 + -4 Combine like terms: 9 + -4 = 5 6d = 5 Divide each side by '6'. d = 0.8333333333 Simplifying d = 0.8333333333
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