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Simplifying 4u + 14 = -7(u + 9) Reorder the terms: 14 + 4u = -7(u + 9) Reorder the terms: 14 + 4u = -7(9 + u) 14 + 4u = (9 * -7 + u * -7) 14 + 4u = (-63 + -7u) Solving 14 + 4u = -63 + -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. 14 + 4u + 7u = -63 + -7u + 7u Combine like terms: 4u + 7u = 11u 14 + 11u = -63 + -7u + 7u Combine like terms: -7u + 7u = 0 14 + 11u = -63 + 0 14 + 11u = -63 Add '-14' to each side of the equation. 14 + -14 + 11u = -63 + -14 Combine like terms: 14 + -14 = 0 0 + 11u = -63 + -14 11u = -63 + -14 Combine like terms: -63 + -14 = -77 11u = -77 Divide each side by '11'. u = -7 Simplifying u = -7
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