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Simplifying 4(d + 2) + -2d + 3(2 + d) = d Reorder the terms: 4(2 + d) + -2d + 3(2 + d) = d (2 * 4 + d * 4) + -2d + 3(2 + d) = d (8 + 4d) + -2d + 3(2 + d) = d 8 + 4d + -2d + (2 * 3 + d * 3) = d 8 + 4d + -2d + (6 + 3d) = d Reorder the terms: 8 + 6 + 4d + -2d + 3d = d Combine like terms: 8 + 6 = 14 14 + 4d + -2d + 3d = d Combine like terms: 4d + -2d = 2d 14 + 2d + 3d = d Combine like terms: 2d + 3d = 5d 14 + 5d = d Solving 14 + 5d = d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 14 + 5d + -1d = d + -1d Combine like terms: 5d + -1d = 4d 14 + 4d = d + -1d Combine like terms: d + -1d = 0 14 + 4d = 0 Add '-14' to each side of the equation. 14 + -14 + 4d = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4d = 0 + -14 4d = 0 + -14 Combine like terms: 0 + -14 = -14 4d = -14 Divide each side by '4'. d = -3.5 Simplifying d = -3.5
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