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Simplifying -34 = -7u + 5(u + -6) Reorder the terms: -34 = -7u + 5(-6 + u) -34 = -7u + (-6 * 5 + u * 5) -34 = -7u + (-30 + 5u) Reorder the terms: -34 = -30 + -7u + 5u Combine like terms: -7u + 5u = -2u -34 = -30 + -2u Solving -34 = -30 + -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 + 2u = -30 + -2u + 2u Combine like terms: -2u + 2u = 0 -34 + 2u = -30 + 0 -34 + 2u = -30 Add '34' to each side of the equation. -34 + 34 + 2u = -30 + 34 Combine like terms: -34 + 34 = 0 0 + 2u = -30 + 34 2u = -30 + 34 Combine like terms: -30 + 34 = 4 2u = 4 Divide each side by '2'. u = 2 Simplifying u = 2
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