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Simplifying 7u + -34 = -2(u + 8) Reorder the terms: -34 + 7u = -2(u + 8) Reorder the terms: -34 + 7u = -2(8 + u) -34 + 7u = (8 * -2 + u * -2) -34 + 7u = (-16 + -2u) Solving -34 + 7u = -16 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -34 + 7u + 2u = -16 + -2u + 2u Combine like terms: 7u + 2u = 9u -34 + 9u = -16 + -2u + 2u Combine like terms: -2u + 2u = 0 -34 + 9u = -16 + 0 -34 + 9u = -16 Add '34' to each side of the equation. -34 + 34 + 9u = -16 + 34 Combine like terms: -34 + 34 = 0 0 + 9u = -16 + 34 9u = -16 + 34 Combine like terms: -16 + 34 = 18 9u = 18 Divide each side by '9'. u = 2 Simplifying u = 2
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