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Simplifying (4u + 7) + -1(2u + 5) = 8 Reorder the terms: (7 + 4u) + -1(2u + 5) = 8 Remove parenthesis around (7 + 4u) 7 + 4u + -1(2u + 5) = 8 Reorder the terms: 7 + 4u + -1(5 + 2u) = 8 7 + 4u + (5 * -1 + 2u * -1) = 8 7 + 4u + (-5 + -2u) = 8 Reorder the terms: 7 + -5 + 4u + -2u = 8 Combine like terms: 7 + -5 = 2 2 + 4u + -2u = 8 Combine like terms: 4u + -2u = 2u 2 + 2u = 8 Solving 2 + 2u = 8 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2u = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2u = 8 + -2 2u = 8 + -2 Combine like terms: 8 + -2 = 6 2u = 6 Divide each side by '2'. u = 3 Simplifying u = 3
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