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Simplifying -34 = -7u + 5(u + -4) Reorder the terms: -34 = -7u + 5(-4 + u) -34 = -7u + (-4 * 5 + u * 5) -34 = -7u + (-20 + 5u) Reorder the terms: -34 = -20 + -7u + 5u Combine like terms: -7u + 5u = -2u -34 = -20 + -2u Solving -34 = -20 + -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 = -20 + -2u + 2u Combine like terms: -2u + 2u = 0 -34 + 2u = -20 + 0 -34 + 2u = -20 Add '34' to each side of the equation. -34 + 34 + 2u = -20 + 34 Combine like terms: -34 + 34 = 0 0 + 2u = -20 + 34 2u = -20 + 34 Combine like terms: -20 + 34 = 14 2u = 14 Divide each side by '2'. u = 7 Simplifying u = 7
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