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Simplifying 3(2d + 1) = 6 + -4(3d + -3) Reorder the terms: 3(1 + 2d) = 6 + -4(3d + -3) (1 * 3 + 2d * 3) = 6 + -4(3d + -3) (3 + 6d) = 6 + -4(3d + -3) Reorder the terms: 3 + 6d = 6 + -4(-3 + 3d) 3 + 6d = 6 + (-3 * -4 + 3d * -4) 3 + 6d = 6 + (12 + -12d) Combine like terms: 6 + 12 = 18 3 + 6d = 18 + -12d Solving 3 + 6d = 18 + -12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. 3 + 6d + 12d = 18 + -12d + 12d Combine like terms: 6d + 12d = 18d 3 + 18d = 18 + -12d + 12d Combine like terms: -12d + 12d = 0 3 + 18d = 18 + 0 3 + 18d = 18 Add '-3' to each side of the equation. 3 + -3 + 18d = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 18d = 18 + -3 18d = 18 + -3 Combine like terms: 18 + -3 = 15 18d = 15 Divide each side by '18'. d = 0.8333333333 Simplifying d = 0.8333333333
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