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Simplifying 4d + 2(3 + d) = 14 4d + (3 * 2 + d * 2) = 14 4d + (6 + 2d) = 14 Reorder the terms: 6 + 4d + 2d = 14 Combine like terms: 4d + 2d = 6d 6 + 6d = 14 Solving 6 + 6d = 14 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 + 6d = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 6d = 14 + -6 6d = 14 + -6 Combine like terms: 14 + -6 = 8 6d = 8 Divide each side by '6'. d = 1.333333333 Simplifying d = 1.333333333
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