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Simplifying 3(2D + 1) = 5D + u + (6 + 2) Reorder the terms: 3(1 + 2D) = 5D + u + (6 + 2) (1 * 3 + 2D * 3) = 5D + u + (6 + 2) (3 + 6D) = 5D + u + (6 + 2) Combine like terms: 6 + 2 = 8 3 + 6D = 5D + u + (8) 3 + 6D = 5D + u + 8 Reorder the terms: 3 + 6D = 8 + 5D + u Solving 3 + 6D = 8 + 5D + u Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-5D' to each side of the equation. 3 + 6D + -5D = 8 + 5D + -5D + u Combine like terms: 6D + -5D = 1D 3 + 1D = 8 + 5D + -5D + u Combine like terms: 5D + -5D = 0 3 + 1D = 8 + 0 + u 3 + 1D = 8 + u Add '-3' to each side of the equation. 3 + -3 + 1D = 8 + -3 + u Combine like terms: 3 + -3 = 0 0 + 1D = 8 + -3 + u 1D = 8 + -3 + u Combine like terms: 8 + -3 = 5 1D = 5 + u Divide each side by '1'. D = 5 + u Simplifying D = 5 + u
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