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Simplifying 7(u + -2) = 9u + -34 Reorder the terms: 7(-2 + u) = 9u + -34 (-2 * 7 + u * 7) = 9u + -34 (-14 + 7u) = 9u + -34 Reorder the terms: -14 + 7u = -34 + 9u Solving -14 + 7u = -34 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -14 + 7u + -9u = -34 + 9u + -9u Combine like terms: 7u + -9u = -2u -14 + -2u = -34 + 9u + -9u Combine like terms: 9u + -9u = 0 -14 + -2u = -34 + 0 -14 + -2u = -34 Add '14' to each side of the equation. -14 + 14 + -2u = -34 + 14 Combine like terms: -14 + 14 = 0 0 + -2u = -34 + 14 -2u = -34 + 14 Combine like terms: -34 + 14 = -20 -2u = -20 Divide each side by '-2'. u = 10 Simplifying u = 10
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