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Simplifying 2(3d + 2) = 2(2d + -7) Reorder the terms: 2(2 + 3d) = 2(2d + -7) (2 * 2 + 3d * 2) = 2(2d + -7) (4 + 6d) = 2(2d + -7) Reorder the terms: 4 + 6d = 2(-7 + 2d) 4 + 6d = (-7 * 2 + 2d * 2) 4 + 6d = (-14 + 4d) Solving 4 + 6d = -14 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 4 + 6d + -4d = -14 + 4d + -4d Combine like terms: 6d + -4d = 2d 4 + 2d = -14 + 4d + -4d Combine like terms: 4d + -4d = 0 4 + 2d = -14 + 0 4 + 2d = -14 Add '-4' to each side of the equation. 4 + -4 + 2d = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 2d = -14 + -4 2d = -14 + -4 Combine like terms: -14 + -4 = -18 2d = -18 Divide each side by '2'. d = -9 Simplifying d = -9
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