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Simplifying -3(-9u + 5) + -9u = 3(u + -1) + -3 Reorder the terms: -3(5 + -9u) + -9u = 3(u + -1) + -3 (5 * -3 + -9u * -3) + -9u = 3(u + -1) + -3 (-15 + 27u) + -9u = 3(u + -1) + -3 Combine like terms: 27u + -9u = 18u -15 + 18u = 3(u + -1) + -3 Reorder the terms: -15 + 18u = 3(-1 + u) + -3 -15 + 18u = (-1 * 3 + u * 3) + -3 -15 + 18u = (-3 + 3u) + -3 Reorder the terms: -15 + 18u = -3 + -3 + 3u Combine like terms: -3 + -3 = -6 -15 + 18u = -6 + 3u Solving -15 + 18u = -6 + 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. -15 + 18u + -3u = -6 + 3u + -3u Combine like terms: 18u + -3u = 15u -15 + 15u = -6 + 3u + -3u Combine like terms: 3u + -3u = 0 -15 + 15u = -6 + 0 -15 + 15u = -6 Add '15' to each side of the equation. -15 + 15 + 15u = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 15u = -6 + 15 15u = -6 + 15 Combine like terms: -6 + 15 = 9 15u = 9 Divide each side by '15'. u = 0.6 Simplifying u = 0.6
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