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Simplifying d(2d + 4) + -6 = 2d2 + 3d + 6 Reorder the terms: d(4 + 2d) + -6 = 2d2 + 3d + 6 (4 * d + 2d * d) + -6 = 2d2 + 3d + 6 (4d + 2d2) + -6 = 2d2 + 3d + 6 Reorder the terms: -6 + 4d + 2d2 = 2d2 + 3d + 6 Reorder the terms: -6 + 4d + 2d2 = 6 + 3d + 2d2 Add '-2d2' to each side of the equation. -6 + 4d + 2d2 + -2d2 = 6 + 3d + 2d2 + -2d2 Combine like terms: 2d2 + -2d2 = 0 -6 + 4d + 0 = 6 + 3d + 2d2 + -2d2 -6 + 4d = 6 + 3d + 2d2 + -2d2 Combine like terms: 2d2 + -2d2 = 0 -6 + 4d = 6 + 3d + 0 -6 + 4d = 6 + 3d Solving -6 + 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. -6 + 4d + -3d = 6 + 3d + -3d Combine like terms: 4d + -3d = 1d -6 + 1d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 -6 + 1d = 6 + 0 -6 + 1d = 6 Add '6' to each side of the equation. -6 + 6 + 1d = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1d = 6 + 6 1d = 6 + 6 Combine like terms: 6 + 6 = 12 1d = 12 Divide each side by '1'. d = 12 Simplifying d = 12
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