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Simplifying 3(7 + -1(3d + 6)) + 1 = 5 + -12d Reorder the terms: 3(7 + -1(6 + 3d)) + 1 = 5 + -12d 3(7 + (6 * -1 + 3d * -1)) + 1 = 5 + -12d 3(7 + (-6 + -3d)) + 1 = 5 + -12d Combine like terms: 7 + -6 = 1 3(1 + -3d) + 1 = 5 + -12d (1 * 3 + -3d * 3) + 1 = 5 + -12d (3 + -9d) + 1 = 5 + -12d Reorder the terms: 3 + 1 + -9d = 5 + -12d Combine like terms: 3 + 1 = 4 4 + -9d = 5 + -12d Solving 4 + -9d = 5 + -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. 4 + -9d + 12d = 5 + -12d + 12d Combine like terms: -9d + 12d = 3d 4 + 3d = 5 + -12d + 12d Combine like terms: -12d + 12d = 0 4 + 3d = 5 + 0 4 + 3d = 5 Add '-4' to each side of the equation. 4 + -4 + 3d = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 3d = 5 + -4 3d = 5 + -4 Combine like terms: 5 + -4 = 1 3d = 1 Divide each side by '3'. d = 0.3333333333 Simplifying d = 0.3333333333
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