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Simplifying 2(d + 2) + -2d = 3(2 + d) Reorder the terms: 2(2 + d) + -2d = 3(2 + d) (2 * 2 + d * 2) + -2d = 3(2 + d) (4 + 2d) + -2d = 3(2 + d) Combine like terms: 2d + -2d = 0 4 + 0 = 3(2 + d) 4 = 3(2 + d) 4 = (2 * 3 + d * 3) 4 = (6 + 3d) Solving 4 = 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. 4 + -3d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 4 + -3d = 6 + 0 4 + -3d = 6 Add '-4' to each side of the equation. 4 + -4 + -3d = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -3d = 6 + -4 -3d = 6 + -4 Combine like terms: 6 + -4 = 2 -3d = 2 Divide each side by '-3'. d = -0.6666666667 Simplifying d = -0.6666666667
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