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Simplifying 2(6d + 3) = 18 + -1(16 + -3d) Reorder the terms: 2(3 + 6d) = 18 + -1(16 + -3d) (3 * 2 + 6d * 2) = 18 + -1(16 + -3d) (6 + 12d) = 18 + -1(16 + -3d) 6 + 12d = 18 + (16 * -1 + -3d * -1) 6 + 12d = 18 + (-16 + 3d) Combine like terms: 18 + -16 = 2 6 + 12d = 2 + 3d Solving 6 + 12d = 2 + 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. 6 + 12d + -3d = 2 + 3d + -3d Combine like terms: 12d + -3d = 9d 6 + 9d = 2 + 3d + -3d Combine like terms: 3d + -3d = 0 6 + 9d = 2 + 0 6 + 9d = 2 Add '-6' to each side of the equation. 6 + -6 + 9d = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 9d = 2 + -6 9d = 2 + -6 Combine like terms: 2 + -6 = -4 9d = -4 Divide each side by '9'. d = -0.4444444444 Simplifying d = -0.4444444444
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