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Simplifying 6d + 2(3 + -2d) = 12 6d + (3 * 2 + -2d * 2) = 12 6d + (6 + -4d) = 12 Reorder the terms: 6 + 6d + -4d = 12 Combine like terms: 6d + -4d = 2d 6 + 2d = 12 Solving 6 + 2d = 12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2d = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2d = 12 + -6 2d = 12 + -6 Combine like terms: 12 + -6 = 6 2d = 6 Divide each side by '2'. d = 3 Simplifying d = 3
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