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Simplifying -3(5u + -3) + 3u = 3(u + 5) Reorder the terms: -3(-3 + 5u) + 3u = 3(u + 5) (-3 * -3 + 5u * -3) + 3u = 3(u + 5) (9 + -15u) + 3u = 3(u + 5) Combine like terms: -15u + 3u = -12u 9 + -12u = 3(u + 5) Reorder the terms: 9 + -12u = 3(5 + u) 9 + -12u = (5 * 3 + u * 3) 9 + -12u = (15 + 3u) Solving 9 + -12u = 15 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 9 + -12u + -3u = 15 + 3u + -3u Combine like terms: -12u + -3u = -15u 9 + -15u = 15 + 3u + -3u Combine like terms: 3u + -3u = 0 9 + -15u = 15 + 0 9 + -15u = 15 Add '-9' to each side of the equation. 9 + -9 + -15u = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -15u = 15 + -9 -15u = 15 + -9 Combine like terms: 15 + -9 = 6 -15u = 6 Divide each side by '-15'. u = -0.4 Simplifying u = -0.4
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