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Simplifying 7(u + -5) = 5u + -49 Reorder the terms: 7(-5 + u) = 5u + -49 (-5 * 7 + u * 7) = 5u + -49 (-35 + 7u) = 5u + -49 Reorder the terms: -35 + 7u = -49 + 5u Solving -35 + 7u = -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. -35 + 7u + -5u = -49 + 5u + -5u Combine like terms: 7u + -5u = 2u -35 + 2u = -49 + 5u + -5u Combine like terms: 5u + -5u = 0 -35 + 2u = -49 + 0 -35 + 2u = -49 Add '35' to each side of the equation. -35 + 35 + 2u = -49 + 35 Combine like terms: -35 + 35 = 0 0 + 2u = -49 + 35 2u = -49 + 35 Combine like terms: -49 + 35 = -14 2u = -14 Divide each side by '2'. u = -7 Simplifying u = -7
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