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Simplifying 4(d + 20) + -2 = 3(2 + d) Reorder the terms: 4(20 + d) + -2 = 3(2 + d) (20 * 4 + d * 4) + -2 = 3(2 + d) (80 + 4d) + -2 = 3(2 + d) Reorder the terms: 80 + -2 + 4d = 3(2 + d) Combine like terms: 80 + -2 = 78 78 + 4d = 3(2 + d) 78 + 4d = (2 * 3 + d * 3) 78 + 4d = (6 + 3d) Solving 78 + 4d = 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. 78 + 4d + -3d = 6 + 3d + -3d Combine like terms: 4d + -3d = 1d 78 + 1d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 78 + 1d = 6 + 0 78 + 1d = 6 Add '-78' to each side of the equation. 78 + -78 + 1d = 6 + -78 Combine like terms: 78 + -78 = 0 0 + 1d = 6 + -78 1d = 6 + -78 Combine like terms: 6 + -78 = -72 1d = -72 Divide each side by '1'. d = -72 Simplifying d = -72
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