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Simplifying -2(-1d + -9) = 3d + 14 Reorder the terms: -2(-9 + -1d) = 3d + 14 (-9 * -2 + -1d * -2) = 3d + 14 (18 + 2d) = 3d + 14 Reorder the terms: 18 + 2d = 14 + 3d Solving 18 + 2d = 14 + 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. 18 + 2d + -3d = 14 + 3d + -3d Combine like terms: 2d + -3d = -1d 18 + -1d = 14 + 3d + -3d Combine like terms: 3d + -3d = 0 18 + -1d = 14 + 0 18 + -1d = 14 Add '-18' to each side of the equation. 18 + -18 + -1d = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -1d = 14 + -18 -1d = 14 + -18 Combine like terms: 14 + -18 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4
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