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Simplifying 2(6d + 3) = 18 + -3(16d + -3d) Reorder the terms: 2(3 + 6d) = 18 + -3(16d + -3d) (3 * 2 + 6d * 2) = 18 + -3(16d + -3d) (6 + 12d) = 18 + -3(16d + -3d) Combine like terms: 16d + -3d = 13d 6 + 12d = 18 + -3(13d) Remove parenthesis around (13d) 6 + 12d = 18 + -3 * 13d Multiply -3 * 13 6 + 12d = 18 + -39d Solving 6 + 12d = 18 + -39d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '39d' to each side of the equation. 6 + 12d + 39d = 18 + -39d + 39d Combine like terms: 12d + 39d = 51d 6 + 51d = 18 + -39d + 39d Combine like terms: -39d + 39d = 0 6 + 51d = 18 + 0 6 + 51d = 18 Add '-6' to each side of the equation. 6 + -6 + 51d = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 51d = 18 + -6 51d = 18 + -6 Combine like terms: 18 + -6 = 12 51d = 12 Divide each side by '51'. d = 0.2352941176 Simplifying d = 0.2352941176
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