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Simplifying 3(4d + 1) + -9d = 6(2d) Reorder the terms: 3(1 + 4d) + -9d = 6(2d) (1 * 3 + 4d * 3) + -9d = 6(2d) (3 + 12d) + -9d = 6(2d) Combine like terms: 12d + -9d = 3d 3 + 3d = 6(2d) Remove parenthesis around (2d) 3 + 3d = 6 * 2d Multiply 6 * 2 3 + 3d = 12d Solving 3 + 3d = 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. 3 + 3d + -12d = 12d + -12d Combine like terms: 3d + -12d = -9d 3 + -9d = 12d + -12d Combine like terms: 12d + -12d = 0 3 + -9d = 0 Add '-3' to each side of the equation. 3 + -3 + -9d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -9d = 0 + -3 -9d = 0 + -3 Combine like terms: 0 + -3 = -3 -9d = -3 Divide each side by '-9'. d = 0.3333333333 Simplifying d = 0.3333333333
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