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Simplifying -5(2u + -8) + 9u = 7(u + 5) Reorder the terms: -5(-8 + 2u) + 9u = 7(u + 5) (-8 * -5 + 2u * -5) + 9u = 7(u + 5) (40 + -10u) + 9u = 7(u + 5) Combine like terms: -10u + 9u = -1u 40 + -1u = 7(u + 5) Reorder the terms: 40 + -1u = 7(5 + u) 40 + -1u = (5 * 7 + u * 7) 40 + -1u = (35 + 7u) Solving 40 + -1u = 35 + 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. 40 + -1u + -7u = 35 + 7u + -7u Combine like terms: -1u + -7u = -8u 40 + -8u = 35 + 7u + -7u Combine like terms: 7u + -7u = 0 40 + -8u = 35 + 0 40 + -8u = 35 Add '-40' to each side of the equation. 40 + -40 + -8u = 35 + -40 Combine like terms: 40 + -40 = 0 0 + -8u = 35 + -40 -8u = 35 + -40 Combine like terms: 35 + -40 = -5 -8u = -5 Divide each side by '-8'. u = 0.625 Simplifying u = 0.625
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