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