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Simplifying 5(d + 4) = 3(d + -2) Reorder the terms: 5(4 + d) = 3(d + -2) (4 * 5 + d * 5) = 3(d + -2) (20 + 5d) = 3(d + -2) Reorder the terms: 20 + 5d = 3(-2 + d) 20 + 5d = (-2 * 3 + d * 3) 20 + 5d = (-6 + 3d) Solving 20 + 5d = -6 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 20 + 5d + -3d = -6 + 3d + -3d Combine like terms: 5d + -3d = 2d 20 + 2d = -6 + 3d + -3d Combine like terms: 3d + -3d = 0 20 + 2d = -6 + 0 20 + 2d = -6 Add '-20' to each side of the equation. 20 + -20 + 2d = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 2d = -6 + -20 2d = -6 + -20 Combine like terms: -6 + -20 = -26 2d = -26 Divide each side by '2'. d = -13 Simplifying d = -13
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