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Simplifying 3(4d + 1) + -9d = 6(2 + -5) Reorder the terms: 3(1 + 4d) + -9d = 6(2 + -5) (1 * 3 + 4d * 3) + -9d = 6(2 + -5) (3 + 12d) + -9d = 6(2 + -5) Combine like terms: 12d + -9d = 3d 3 + 3d = 6(2 + -5) Combine like terms: 2 + -5 = -3 3 + 3d = 6(-3) Multiply 6 * -3 3 + 3d = -18 Solving 3 + 3d = -18 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 = -18 + -3 Combine like terms: 3 + -3 = 0 0 + 3d = -18 + -3 3d = -18 + -3 Combine like terms: -18 + -3 = -21 3d = -21 Divide each side by '3'. d = -7 Simplifying d = -7
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