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Simplifying 2(8u + 2) = 3(2u + -7) Reorder the terms: 2(2 + 8u) = 3(2u + -7) (2 * 2 + 8u * 2) = 3(2u + -7) (4 + 16u) = 3(2u + -7) Reorder the terms: 4 + 16u = 3(-7 + 2u) 4 + 16u = (-7 * 3 + 2u * 3) 4 + 16u = (-21 + 6u) Solving 4 + 16u = -21 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 4 + 16u + -6u = -21 + 6u + -6u Combine like terms: 16u + -6u = 10u 4 + 10u = -21 + 6u + -6u Combine like terms: 6u + -6u = 0 4 + 10u = -21 + 0 4 + 10u = -21 Add '-4' to each side of the equation. 4 + -4 + 10u = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 10u = -21 + -4 10u = -21 + -4 Combine like terms: -21 + -4 = -25 10u = -25 Divide each side by '10'. u = -2.5 Simplifying u = -2.5
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