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Simplifying -5(u + 9) = -7u + -39 Reorder the terms: -5(9 + u) = -7u + -39 (9 * -5 + u * -5) = -7u + -39 (-45 + -5u) = -7u + -39 Reorder the terms: -45 + -5u = -39 + -7u Solving -45 + -5u = -39 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. -45 + -5u + 7u = -39 + -7u + 7u Combine like terms: -5u + 7u = 2u -45 + 2u = -39 + -7u + 7u Combine like terms: -7u + 7u = 0 -45 + 2u = -39 + 0 -45 + 2u = -39 Add '45' to each side of the equation. -45 + 45 + 2u = -39 + 45 Combine like terms: -45 + 45 = 0 0 + 2u = -39 + 45 2u = -39 + 45 Combine like terms: -39 + 45 = 6 2u = 6 Divide each side by '2'. u = 3 Simplifying u = 3
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