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Simplifying u + -5(u + 6) + 9 = 8 + -5u + -6(u + -1) Reorder the terms: u + -5(6 + u) + 9 = 8 + -5u + -6(u + -1) u + (6 * -5 + u * -5) + 9 = 8 + -5u + -6(u + -1) u + (-30 + -5u) + 9 = 8 + -5u + -6(u + -1) Reorder the terms: -30 + 9 + u + -5u = 8 + -5u + -6(u + -1) Combine like terms: -30 + 9 = -21 -21 + u + -5u = 8 + -5u + -6(u + -1) Combine like terms: u + -5u = -4u -21 + -4u = 8 + -5u + -6(u + -1) Reorder the terms: -21 + -4u = 8 + -5u + -6(-1 + u) -21 + -4u = 8 + -5u + (-1 * -6 + u * -6) -21 + -4u = 8 + -5u + (6 + -6u) Reorder the terms: -21 + -4u = 8 + 6 + -5u + -6u Combine like terms: 8 + 6 = 14 -21 + -4u = 14 + -5u + -6u Combine like terms: -5u + -6u = -11u -21 + -4u = 14 + -11u Solving -21 + -4u = 14 + -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. -21 + -4u + 11u = 14 + -11u + 11u Combine like terms: -4u + 11u = 7u -21 + 7u = 14 + -11u + 11u Combine like terms: -11u + 11u = 0 -21 + 7u = 14 + 0 -21 + 7u = 14 Add '21' to each side of the equation. -21 + 21 + 7u = 14 + 21 Combine like terms: -21 + 21 = 0 0 + 7u = 14 + 21 7u = 14 + 21 Combine like terms: 14 + 21 = 35 7u = 35 Divide each side by '7'. u = 5 Simplifying u = 5
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