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Simplifying 5(u + -1) = 5u + 1 + -2(-3u + -5) Reorder the terms: 5(-1 + u) = 5u + 1 + -2(-3u + -5) (-1 * 5 + u * 5) = 5u + 1 + -2(-3u + -5) (-5 + 5u) = 5u + 1 + -2(-3u + -5) Reorder the terms: -5 + 5u = 5u + 1 + -2(-5 + -3u) -5 + 5u = 5u + 1 + (-5 * -2 + -3u * -2) -5 + 5u = 5u + 1 + (10 + 6u) Reorder the terms: -5 + 5u = 1 + 10 + 5u + 6u Combine like terms: 1 + 10 = 11 -5 + 5u = 11 + 5u + 6u Combine like terms: 5u + 6u = 11u -5 + 5u = 11 + 11u Solving -5 + 5u = 11 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -5 + 5u + -11u = 11 + 11u + -11u Combine like terms: 5u + -11u = -6u -5 + -6u = 11 + 11u + -11u Combine like terms: 11u + -11u = 0 -5 + -6u = 11 + 0 -5 + -6u = 11 Add '5' to each side of the equation. -5 + 5 + -6u = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -6u = 11 + 5 -6u = 11 + 5 Combine like terms: 11 + 5 = 16 -6u = 16 Divide each side by '-6'. u = -2.666666667 Simplifying u = -2.666666667
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