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Simplifying -3(3u + -3) + 5u = 5(u + 3) Reorder the terms: -3(-3 + 3u) + 5u = 5(u + 3) (-3 * -3 + 3u * -3) + 5u = 5(u + 3) (9 + -9u) + 5u = 5(u + 3) Combine like terms: -9u + 5u = -4u 9 + -4u = 5(u + 3) Reorder the terms: 9 + -4u = 5(3 + u) 9 + -4u = (3 * 5 + u * 5) 9 + -4u = (15 + 5u) Solving 9 + -4u = 15 + 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. 9 + -4u + -5u = 15 + 5u + -5u Combine like terms: -4u + -5u = -9u 9 + -9u = 15 + 5u + -5u Combine like terms: 5u + -5u = 0 9 + -9u = 15 + 0 9 + -9u = 15 Add '-9' to each side of the equation. 9 + -9 + -9u = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -9u = 15 + -9 -9u = 15 + -9 Combine like terms: 15 + -9 = 6 -9u = 6 Divide each side by '-9'. u = -0.6666666667 Simplifying u = -0.6666666667
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