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Simplifying 2d + 6 = 2 + -4d + 8d Reorder the terms: 6 + 2d = 2 + -4d + 8d Combine like terms: -4d + 8d = 4d 6 + 2d = 2 + 4d Solving 6 + 2d = 2 + 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. 6 + 2d + -4d = 2 + 4d + -4d Combine like terms: 2d + -4d = -2d 6 + -2d = 2 + 4d + -4d Combine like terms: 4d + -4d = 0 6 + -2d = 2 + 0 6 + -2d = 2 Add '-6' to each side of the equation. 6 + -6 + -2d = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -2d = 2 + -6 -2d = 2 + -6 Combine like terms: 2 + -6 = -4 -2d = -4 Divide each side by '-2'. d = 2 Simplifying d = 2
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