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Simplifying 120 + -5(u + -5) = 9(7u + -5) Reorder the terms: 120 + -5(-5 + u) = 9(7u + -5) 120 + (-5 * -5 + u * -5) = 9(7u + -5) 120 + (25 + -5u) = 9(7u + -5) Combine like terms: 120 + 25 = 145 145 + -5u = 9(7u + -5) Reorder the terms: 145 + -5u = 9(-5 + 7u) 145 + -5u = (-5 * 9 + 7u * 9) 145 + -5u = (-45 + 63u) Solving 145 + -5u = -45 + 63u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-63u' to each side of the equation. 145 + -5u + -63u = -45 + 63u + -63u Combine like terms: -5u + -63u = -68u 145 + -68u = -45 + 63u + -63u Combine like terms: 63u + -63u = 0 145 + -68u = -45 + 0 145 + -68u = -45 Add '-145' to each side of the equation. 145 + -145 + -68u = -45 + -145 Combine like terms: 145 + -145 = 0 0 + -68u = -45 + -145 -68u = -45 + -145 Combine like terms: -45 + -145 = -190 -68u = -190 Divide each side by '-68'. u = 2.794117647 Simplifying u = 2.794117647
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