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Simplifying -4(u + 1) = 7u + 40 Reorder the terms: -4(1 + u) = 7u + 40 (1 * -4 + u * -4) = 7u + 40 (-4 + -4u) = 7u + 40 Reorder the terms: -4 + -4u = 40 + 7u Solving -4 + -4u = 40 + 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. -4 + -4u + -7u = 40 + 7u + -7u Combine like terms: -4u + -7u = -11u -4 + -11u = 40 + 7u + -7u Combine like terms: 7u + -7u = 0 -4 + -11u = 40 + 0 -4 + -11u = 40 Add '4' to each side of the equation. -4 + 4 + -11u = 40 + 4 Combine like terms: -4 + 4 = 0 0 + -11u = 40 + 4 -11u = 40 + 4 Combine like terms: 40 + 4 = 44 -11u = 44 Divide each side by '-11'. u = -4 Simplifying u = -4
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