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Simplifying -2(4d + -3) = -1(5d + 3) Reorder the terms: -2(-3 + 4d) = -1(5d + 3) (-3 * -2 + 4d * -2) = -1(5d + 3) (6 + -8d) = -1(5d + 3) Reorder the terms: 6 + -8d = -1(3 + 5d) 6 + -8d = (3 * -1 + 5d * -1) 6 + -8d = (-3 + -5d) Solving 6 + -8d = -3 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 6 + -8d + 5d = -3 + -5d + 5d Combine like terms: -8d + 5d = -3d 6 + -3d = -3 + -5d + 5d Combine like terms: -5d + 5d = 0 6 + -3d = -3 + 0 6 + -3d = -3 Add '-6' to each side of the equation. 6 + -6 + -3d = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -3d = -3 + -6 -3d = -3 + -6 Combine like terms: -3 + -6 = -9 -3d = -9 Divide each side by '-3'. d = 3 Simplifying d = 3
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