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Simplifying 7u + -39 = 5(u + -7) Reorder the terms: -39 + 7u = 5(u + -7) Reorder the terms: -39 + 7u = 5(-7 + u) -39 + 7u = (-7 * 5 + u * 5) -39 + 7u = (-35 + 5u) Solving -39 + 7u = -35 + 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. -39 + 7u + -5u = -35 + 5u + -5u Combine like terms: 7u + -5u = 2u -39 + 2u = -35 + 5u + -5u Combine like terms: 5u + -5u = 0 -39 + 2u = -35 + 0 -39 + 2u = -35 Add '39' to each side of the equation. -39 + 39 + 2u = -35 + 39 Combine like terms: -39 + 39 = 0 0 + 2u = -35 + 39 2u = -35 + 39 Combine like terms: -35 + 39 = 4 2u = 4 Divide each side by '2'. u = 2 Simplifying u = 2
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