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Simplifying -34 = 7(u + -7) + -2u Reorder the terms: -34 = 7(-7 + u) + -2u -34 = (-7 * 7 + u * 7) + -2u -34 = (-49 + 7u) + -2u Combine like terms: 7u + -2u = 5u -34 = -49 + 5u Solving -34 = -49 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -34 + -5u = -49 + 5u + -5u Combine like terms: 5u + -5u = 0 -34 + -5u = -49 + 0 -34 + -5u = -49 Add '34' to each side of the equation. -34 + 34 + -5u = -49 + 34 Combine like terms: -34 + 34 = 0 0 + -5u = -49 + 34 -5u = -49 + 34 Combine like terms: -49 + 34 = -15 -5u = -15 Divide each side by '-5'. u = 3 Simplifying u = 3
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