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Simplifying 3d + 82 = 2d + -7 Reorder the terms: 82 + 3d = 2d + -7 Reorder the terms: 82 + 3d = -7 + 2d Solving 82 + 3d = -7 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 82 + 3d + -2d = -7 + 2d + -2d Combine like terms: 3d + -2d = 1d 82 + 1d = -7 + 2d + -2d Combine like terms: 2d + -2d = 0 82 + 1d = -7 + 0 82 + 1d = -7 Add '-82' to each side of the equation. 82 + -82 + 1d = -7 + -82 Combine like terms: 82 + -82 = 0 0 + 1d = -7 + -82 1d = -7 + -82 Combine like terms: -7 + -82 = -89 1d = -89 Divide each side by '1'. d = -89 Simplifying d = -89
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