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Simplifying 5(u + 9) = -7(2u + -7) + 7u Reorder the terms: 5(9 + u) = -7(2u + -7) + 7u (9 * 5 + u * 5) = -7(2u + -7) + 7u (45 + 5u) = -7(2u + -7) + 7u Reorder the terms: 45 + 5u = -7(-7 + 2u) + 7u 45 + 5u = (-7 * -7 + 2u * -7) + 7u 45 + 5u = (49 + -14u) + 7u Combine like terms: -14u + 7u = -7u 45 + 5u = 49 + -7u Solving 45 + 5u = 49 + -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. 45 + 5u + 7u = 49 + -7u + 7u Combine like terms: 5u + 7u = 12u 45 + 12u = 49 + -7u + 7u Combine like terms: -7u + 7u = 0 45 + 12u = 49 + 0 45 + 12u = 49 Add '-45' to each side of the equation. 45 + -45 + 12u = 49 + -45 Combine like terms: 45 + -45 = 0 0 + 12u = 49 + -45 12u = 49 + -45 Combine like terms: 49 + -45 = 4 12u = 4 Divide each side by '12'. u = 0.3333333333 Simplifying u = 0.3333333333
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