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Simplifying 4(3d + 2) = 3(5d + -1) Reorder the terms: 4(2 + 3d) = 3(5d + -1) (2 * 4 + 3d * 4) = 3(5d + -1) (8 + 12d) = 3(5d + -1) Reorder the terms: 8 + 12d = 3(-1 + 5d) 8 + 12d = (-1 * 3 + 5d * 3) 8 + 12d = (-3 + 15d) Solving 8 + 12d = -3 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 8 + 12d + -15d = -3 + 15d + -15d Combine like terms: 12d + -15d = -3d 8 + -3d = -3 + 15d + -15d Combine like terms: 15d + -15d = 0 8 + -3d = -3 + 0 8 + -3d = -3 Add '-8' to each side of the equation. 8 + -8 + -3d = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -3d = -3 + -8 -3d = -3 + -8 Combine like terms: -3 + -8 = -11 -3d = -11 Divide each side by '-3'. d = 3.666666667 Simplifying d = 3.666666667
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