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Simplifying 3d + 12 = 2 + -2d Reorder the terms: 12 + 3d = 2 + -2d Solving 12 + 3d = 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. 12 + 3d + 2d = 2 + -2d + 2d Combine like terms: 3d + 2d = 5d 12 + 5d = 2 + -2d + 2d Combine like terms: -2d + 2d = 0 12 + 5d = 2 + 0 12 + 5d = 2 Add '-12' to each side of the equation. 12 + -12 + 5d = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 5d = 2 + -12 5d = 2 + -12 Combine like terms: 2 + -12 = -10 5d = -10 Divide each side by '5'. d = -2 Simplifying d = -2
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