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Simplifying -7(u + 5) = 2u + 10 Reorder the terms: -7(5 + u) = 2u + 10 (5 * -7 + u * -7) = 2u + 10 (-35 + -7u) = 2u + 10 Reorder the terms: -35 + -7u = 10 + 2u Solving -35 + -7u = 10 + 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. -35 + -7u + -2u = 10 + 2u + -2u Combine like terms: -7u + -2u = -9u -35 + -9u = 10 + 2u + -2u Combine like terms: 2u + -2u = 0 -35 + -9u = 10 + 0 -35 + -9u = 10 Add '35' to each side of the equation. -35 + 35 + -9u = 10 + 35 Combine like terms: -35 + 35 = 0 0 + -9u = 10 + 35 -9u = 10 + 35 Combine like terms: 10 + 35 = 45 -9u = 45 Divide each side by '-9'. u = -5 Simplifying u = -5
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