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Simplifying 5(u + 5) = -5(3u + -7) + 5u Reorder the terms: 5(5 + u) = -5(3u + -7) + 5u (5 * 5 + u * 5) = -5(3u + -7) + 5u (25 + 5u) = -5(3u + -7) + 5u Reorder the terms: 25 + 5u = -5(-7 + 3u) + 5u 25 + 5u = (-7 * -5 + 3u * -5) + 5u 25 + 5u = (35 + -15u) + 5u Combine like terms: -15u + 5u = -10u 25 + 5u = 35 + -10u Solving 25 + 5u = 35 + -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. 25 + 5u + 10u = 35 + -10u + 10u Combine like terms: 5u + 10u = 15u 25 + 15u = 35 + -10u + 10u Combine like terms: -10u + 10u = 0 25 + 15u = 35 + 0 25 + 15u = 35 Add '-25' to each side of the equation. 25 + -25 + 15u = 35 + -25 Combine like terms: 25 + -25 = 0 0 + 15u = 35 + -25 15u = 35 + -25 Combine like terms: 35 + -25 = 10 15u = 10 Divide each side by '15'. u = 0.6666666667 Simplifying u = 0.6666666667
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