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Simplifying 7(u + 5) = -7(2u + -3) + 9u Reorder the terms: 7(5 + u) = -7(2u + -3) + 9u (5 * 7 + u * 7) = -7(2u + -3) + 9u (35 + 7u) = -7(2u + -3) + 9u Reorder the terms: 35 + 7u = -7(-3 + 2u) + 9u 35 + 7u = (-3 * -7 + 2u * -7) + 9u 35 + 7u = (21 + -14u) + 9u Combine like terms: -14u + 9u = -5u 35 + 7u = 21 + -5u Solving 35 + 7u = 21 + -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. 35 + 7u + 5u = 21 + -5u + 5u Combine like terms: 7u + 5u = 12u 35 + 12u = 21 + -5u + 5u Combine like terms: -5u + 5u = 0 35 + 12u = 21 + 0 35 + 12u = 21 Add '-35' to each side of the equation. 35 + -35 + 12u = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 12u = 21 + -35 12u = 21 + -35 Combine like terms: 21 + -35 = -14 12u = -14 Divide each side by '12'. u = -1.166666667 Simplifying u = -1.166666667
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