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Simplifying 2(2d + 4) = 12 + -2d Reorder the terms: 2(4 + 2d) = 12 + -2d (4 * 2 + 2d * 2) = 12 + -2d (8 + 4d) = 12 + -2d Solving 8 + 4d = 12 + -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. 8 + 4d + 2d = 12 + -2d + 2d Combine like terms: 4d + 2d = 6d 8 + 6d = 12 + -2d + 2d Combine like terms: -2d + 2d = 0 8 + 6d = 12 + 0 8 + 6d = 12 Add '-8' to each side of the equation. 8 + -8 + 6d = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 6d = 12 + -8 6d = 12 + -8 Combine like terms: 12 + -8 = 4 6d = 4 Divide each side by '6'. d = 0.6666666667 Simplifying d = 0.6666666667
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