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Simplifying 3(4d + 1) + -9d = 6(2u + -4) + -9 Reorder the terms: 3(1 + 4d) + -9d = 6(2u + -4) + -9 (1 * 3 + 4d * 3) + -9d = 6(2u + -4) + -9 (3 + 12d) + -9d = 6(2u + -4) + -9 Combine like terms: 12d + -9d = 3d 3 + 3d = 6(2u + -4) + -9 Reorder the terms: 3 + 3d = 6(-4 + 2u) + -9 3 + 3d = (-4 * 6 + 2u * 6) + -9 3 + 3d = (-24 + 12u) + -9 Reorder the terms: 3 + 3d = -24 + -9 + 12u Combine like terms: -24 + -9 = -33 3 + 3d = -33 + 12u Solving 3 + 3d = -33 + 12u Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3d = -33 + -3 + 12u Combine like terms: 3 + -3 = 0 0 + 3d = -33 + -3 + 12u 3d = -33 + -3 + 12u Combine like terms: -33 + -3 = -36 3d = -36 + 12u Divide each side by '3'. d = -12 + 4u Simplifying d = -12 + 4u
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