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Simplifying -2(-3u + 1) + -9u = 3(u + -3) + -2 Reorder the terms: -2(1 + -3u) + -9u = 3(u + -3) + -2 (1 * -2 + -3u * -2) + -9u = 3(u + -3) + -2 (-2 + 6u) + -9u = 3(u + -3) + -2 Combine like terms: 6u + -9u = -3u -2 + -3u = 3(u + -3) + -2 Reorder the terms: -2 + -3u = 3(-3 + u) + -2 -2 + -3u = (-3 * 3 + u * 3) + -2 -2 + -3u = (-9 + 3u) + -2 Reorder the terms: -2 + -3u = -9 + -2 + 3u Combine like terms: -9 + -2 = -11 -2 + -3u = -11 + 3u Solving -2 + -3u = -11 + 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. -2 + -3u + -3u = -11 + 3u + -3u Combine like terms: -3u + -3u = -6u -2 + -6u = -11 + 3u + -3u Combine like terms: 3u + -3u = 0 -2 + -6u = -11 + 0 -2 + -6u = -11 Add '2' to each side of the equation. -2 + 2 + -6u = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -6u = -11 + 2 -6u = -11 + 2 Combine like terms: -11 + 2 = -9 -6u = -9 Divide each side by '-6'. u = 1.5 Simplifying u = 1.5
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