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Simplifying 2(6d + 4) = 18 + -3(16 + -3D) Reorder the terms: 2(4 + 6d) = 18 + -3(16 + -3D) (4 * 2 + 6d * 2) = 18 + -3(16 + -3D) (8 + 12d) = 18 + -3(16 + -3D) 8 + 12d = 18 + (16 * -3 + -3D * -3) 8 + 12d = 18 + (-48 + 9D) Combine like terms: 18 + -48 = -30 8 + 12d = -30 + 9D Solving 8 + 12d = -30 + 9D Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 12d = -30 + -8 + 9D Combine like terms: 8 + -8 = 0 0 + 12d = -30 + -8 + 9D 12d = -30 + -8 + 9D Combine like terms: -30 + -8 = -38 12d = -38 + 9D Divide each side by '12'. d = -3.166666667 + 0.75D Simplifying d = -3.166666667 + 0.75D
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