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Simplifying 3(4d + 8) = 3(d + -1) Reorder the terms: 3(8 + 4d) = 3(d + -1) (8 * 3 + 4d * 3) = 3(d + -1) (24 + 12d) = 3(d + -1) Reorder the terms: 24 + 12d = 3(-1 + d) 24 + 12d = (-1 * 3 + d * 3) 24 + 12d = (-3 + 3d) Solving 24 + 12d = -3 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 24 + 12d + -3d = -3 + 3d + -3d Combine like terms: 12d + -3d = 9d 24 + 9d = -3 + 3d + -3d Combine like terms: 3d + -3d = 0 24 + 9d = -3 + 0 24 + 9d = -3 Add '-24' to each side of the equation. 24 + -24 + 9d = -3 + -24 Combine like terms: 24 + -24 = 0 0 + 9d = -3 + -24 9d = -3 + -24 Combine like terms: -3 + -24 = -27 9d = -27 Divide each side by '9'. d = -3 Simplifying d = -3
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