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Simplifying 3(1 + -3d) = 2(-4d + 7) (1 * 3 + -3d * 3) = 2(-4d + 7) (3 + -9d) = 2(-4d + 7) Reorder the terms: 3 + -9d = 2(7 + -4d) 3 + -9d = (7 * 2 + -4d * 2) 3 + -9d = (14 + -8d) Solving 3 + -9d = 14 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. 3 + -9d + 8d = 14 + -8d + 8d Combine like terms: -9d + 8d = -1d 3 + -1d = 14 + -8d + 8d Combine like terms: -8d + 8d = 0 3 + -1d = 14 + 0 3 + -1d = 14 Add '-3' to each side of the equation. 3 + -3 + -1d = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1d = 14 + -3 -1d = 14 + -3 Combine like terms: 14 + -3 = 11 -1d = 11 Divide each side by '-1'. d = -11 Simplifying d = -11
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