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Simplifying -7u + 23 = -5(u + -7) Reorder the terms: 23 + -7u = -5(u + -7) Reorder the terms: 23 + -7u = -5(-7 + u) 23 + -7u = (-7 * -5 + u * -5) 23 + -7u = (35 + -5u) Solving 23 + -7u = 35 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 23 + -7u + 5u = 35 + -5u + 5u Combine like terms: -7u + 5u = -2u 23 + -2u = 35 + -5u + 5u Combine like terms: -5u + 5u = 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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