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Simplifying -5(u + 7) = -7u + -47 Reorder the terms: -5(7 + u) = -7u + -47 (7 * -5 + u * -5) = -7u + -47 (-35 + -5u) = -7u + -47 Reorder the terms: -35 + -5u = -47 + -7u Solving -35 + -5u = -47 + -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. -35 + -5u + 7u = -47 + -7u + 7u Combine like terms: -5u + 7u = 2u -35 + 2u = -47 + -7u + 7u Combine like terms: -7u + 7u = 0 -35 + 2u = -47 + 0 -35 + 2u = -47 Add '35' to each side of the equation. -35 + 35 + 2u = -47 + 35 Combine like terms: -35 + 35 = 0 0 + 2u = -47 + 35 2u = -47 + 35 Combine like terms: -47 + 35 = -12 2u = -12 Divide each side by '2'. u = -6 Simplifying u = -6
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