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Simplifying 2d + 7 = 12 + -3d Reorder the terms: 7 + 2d = 12 + -3d Solving 7 + 2d = 12 + -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. 7 + 2d + 3d = 12 + -3d + 3d Combine like terms: 2d + 3d = 5d 7 + 5d = 12 + -3d + 3d Combine like terms: -3d + 3d = 0 7 + 5d = 12 + 0 7 + 5d = 12 Add '-7' to each side of the equation. 7 + -7 + 5d = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5d = 12 + -7 5d = 12 + -7 Combine like terms: 12 + -7 = 5 5d = 5 Divide each side by '5'. d = 1 Simplifying d = 1
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