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Simplifying 3d + 12 = 8 + -4d Reorder the terms: 12 + 3d = 8 + -4d Solving 12 + 3d = 8 + -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. 12 + 3d + 4d = 8 + -4d + 4d Combine like terms: 3d + 4d = 7d 12 + 7d = 8 + -4d + 4d Combine like terms: -4d + 4d = 0 12 + 7d = 8 + 0 12 + 7d = 8 Add '-12' to each side of the equation. 12 + -12 + 7d = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 7d = 8 + -12 7d = 8 + -12 Combine like terms: 8 + -12 = -4 7d = -4 Divide each side by '7'. d = -0.5714285714 Simplifying d = -0.5714285714
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