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Simplifying 4(d + 2) = 3(2 + d) Reorder the terms: 4(2 + d) = 3(2 + d) (2 * 4 + d * 4) = 3(2 + d) (8 + 4d) = 3(2 + d) 8 + 4d = (2 * 3 + d * 3) 8 + 4d = (6 + 3d) Solving 8 + 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. 8 + 4d + -3d = 6 + 3d + -3d Combine like terms: 4d + -3d = 1d 8 + 1d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 8 + 1d = 6 + 0 8 + 1d = 6 Add '-8' to each side of the equation. 8 + -8 + 1d = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 1d = 6 + -8 1d = 6 + -8 Combine like terms: 6 + -8 = -2 1d = -2 Divide each side by '1'. d = -2 Simplifying d = -2
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