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Simplifying -2(7u + -2) + 3u = 1 + 2(2u + -1) Reorder the terms: -2(-2 + 7u) + 3u = 1 + 2(2u + -1) (-2 * -2 + 7u * -2) + 3u = 1 + 2(2u + -1) (4 + -14u) + 3u = 1 + 2(2u + -1) Combine like terms: -14u + 3u = -11u 4 + -11u = 1 + 2(2u + -1) Reorder the terms: 4 + -11u = 1 + 2(-1 + 2u) 4 + -11u = 1 + (-1 * 2 + 2u * 2) 4 + -11u = 1 + (-2 + 4u) Combine like terms: 1 + -2 = -1 4 + -11u = -1 + 4u Solving 4 + -11u = -1 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 4 + -11u + -4u = -1 + 4u + -4u Combine like terms: -11u + -4u = -15u 4 + -15u = -1 + 4u + -4u Combine like terms: 4u + -4u = 0 4 + -15u = -1 + 0 4 + -15u = -1 Add '-4' to each side of the equation. 4 + -4 + -15u = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -15u = -1 + -4 -15u = -1 + -4 Combine like terms: -1 + -4 = -5 -15u = -5 Divide each side by '-15'. u = 0.3333333333 Simplifying u = 0.3333333333
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