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Simplifying -21 = 4u + 7(u + 8) Reorder the terms: -21 = 4u + 7(8 + u) -21 = 4u + (8 * 7 + u * 7) -21 = 4u + (56 + 7u) Reorder the terms: -21 = 56 + 4u + 7u Combine like terms: 4u + 7u = 11u -21 = 56 + 11u Solving -21 = 56 + 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 + -11u = 56 + 11u + -11u Combine like terms: 11u + -11u = 0 -21 + -11u = 56 + 0 -21 + -11u = 56 Add '21' to each side of the equation. -21 + 21 + -11u = 56 + 21 Combine like terms: -21 + 21 = 0 0 + -11u = 56 + 21 -11u = 56 + 21 Combine like terms: 56 + 21 = 77 -11u = 77 Divide each side by '-11'. u = -7 Simplifying u = -7
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