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Simplifying -9u + 23 = -7(u + -5) Reorder the terms: 23 + -9u = -7(u + -5) Reorder the terms: 23 + -9u = -7(-5 + u) 23 + -9u = (-5 * -7 + u * -7) 23 + -9u = (35 + -7u) Solving 23 + -9u = 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. 23 + -9u + 7u = 35 + -7u + 7u Combine like terms: -9u + 7u = -2u 23 + -2u = 35 + -7u + 7u Combine like terms: -7u + 7u = 0 23 + -2u = 35 + 0 23 + -2u = 35 Add '-23' to each side of the equation. 23 + -23 + -2u = 35 + -23 Combine like terms: 23 + -23 = 0 0 + -2u = 35 + -23 -2u = 35 + -23 Combine like terms: 35 + -23 = 12 -2u = 12 Divide each side by '-2'. u = -6 Simplifying u = -6
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