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Simplifying -3(-9u + 5) + -6u = 3(u + -9) + -2 Reorder the terms: -3(5 + -9u) + -6u = 3(u + -9) + -2 (5 * -3 + -9u * -3) + -6u = 3(u + -9) + -2 (-15 + 27u) + -6u = 3(u + -9) + -2 Combine like terms: 27u + -6u = 21u -15 + 21u = 3(u + -9) + -2 Reorder the terms: -15 + 21u = 3(-9 + u) + -2 -15 + 21u = (-9 * 3 + u * 3) + -2 -15 + 21u = (-27 + 3u) + -2 Reorder the terms: -15 + 21u = -27 + -2 + 3u Combine like terms: -27 + -2 = -29 -15 + 21u = -29 + 3u Solving -15 + 21u = -29 + 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 + 21u + -3u = -29 + 3u + -3u Combine like terms: 21u + -3u = 18u -15 + 18u = -29 + 3u + -3u Combine like terms: 3u + -3u = 0 -15 + 18u = -29 + 0 -15 + 18u = -29 Add '15' to each side of the equation. -15 + 15 + 18u = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 18u = -29 + 15 18u = -29 + 15 Combine like terms: -29 + 15 = -14 18u = -14 Divide each side by '18'. u = -0.7777777778 Simplifying u = -0.7777777778
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