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Simplifying 4u + 27 = -7(u + 4) Reorder the terms: 27 + 4u = -7(u + 4) Reorder the terms: 27 + 4u = -7(4 + u) 27 + 4u = (4 * -7 + u * -7) 27 + 4u = (-28 + -7u) Solving 27 + 4u = -28 + -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. 27 + 4u + 7u = -28 + -7u + 7u Combine like terms: 4u + 7u = 11u 27 + 11u = -28 + -7u + 7u Combine like terms: -7u + 7u = 0 27 + 11u = -28 + 0 27 + 11u = -28 Add '-27' to each side of the equation. 27 + -27 + 11u = -28 + -27 Combine like terms: 27 + -27 = 0 0 + 11u = -28 + -27 11u = -28 + -27 Combine like terms: -28 + -27 = -55 11u = -55 Divide each side by '11'. u = -5 Simplifying u = -5
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