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Simplifying 7u + -27 = -4(u + 4) Reorder the terms: -27 + 7u = -4(u + 4) Reorder the terms: -27 + 7u = -4(4 + u) -27 + 7u = (4 * -4 + u * -4) -27 + 7u = (-16 + -4u) Solving -27 + 7u = -16 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -27 + 7u + 4u = -16 + -4u + 4u Combine like terms: 7u + 4u = 11u -27 + 11u = -16 + -4u + 4u Combine like terms: -4u + 4u = 0 -27 + 11u = -16 + 0 -27 + 11u = -16 Add '27' to each side of the equation. -27 + 27 + 11u = -16 + 27 Combine like terms: -27 + 27 = 0 0 + 11u = -16 + 27 11u = -16 + 27 Combine like terms: -16 + 27 = 11 11u = 11 Divide each side by '11'. u = 1 Simplifying u = 1
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