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Simplifying -3d + 7d + 10 = -2 + 2d Reorder the terms: 10 + -3d + 7d = -2 + 2d Combine like terms: -3d + 7d = 4d 10 + 4d = -2 + 2d Solving 10 + 4d = -2 + 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. 10 + 4d + -2d = -2 + 2d + -2d Combine like terms: 4d + -2d = 2d 10 + 2d = -2 + 2d + -2d Combine like terms: 2d + -2d = 0 10 + 2d = -2 + 0 10 + 2d = -2 Add '-10' to each side of the equation. 10 + -10 + 2d = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 2d = -2 + -10 2d = -2 + -10 Combine like terms: -2 + -10 = -12 2d = -12 Divide each side by '2'. d = -6 Simplifying d = -6
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