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Simplifying -4(u + 2) = 7u + 14 Reorder the terms: -4(2 + u) = 7u + 14 (2 * -4 + u * -4) = 7u + 14 (-8 + -4u) = 7u + 14 Reorder the terms: -8 + -4u = 14 + 7u Solving -8 + -4u = 14 + 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. -8 + -4u + -7u = 14 + 7u + -7u Combine like terms: -4u + -7u = -11u -8 + -11u = 14 + 7u + -7u Combine like terms: 7u + -7u = 0 -8 + -11u = 14 + 0 -8 + -11u = 14 Add '8' to each side of the equation. -8 + 8 + -11u = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -11u = 14 + 8 -11u = 14 + 8 Combine like terms: 14 + 8 = 22 -11u = 22 Divide each side by '-11'. u = -2 Simplifying u = -2
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