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Simplifying 3(u + -9) + -7 = -6(5u + 4) + -9 Reorder the terms: 3(-9 + u) + -7 = -6(5u + 4) + -9 (-9 * 3 + u * 3) + -7 = -6(5u + 4) + -9 (-27 + 3u) + -7 = -6(5u + 4) + -9 Reorder the terms: -27 + -7 + 3u = -6(5u + 4) + -9 Combine like terms: -27 + -7 = -34 -34 + 3u = -6(5u + 4) + -9 Reorder the terms: -34 + 3u = -6(4 + 5u) + -9 -34 + 3u = (4 * -6 + 5u * -6) + -9 -34 + 3u = (-24 + -30u) + -9 Reorder the terms: -34 + 3u = -24 + -9 + -30u Combine like terms: -24 + -9 = -33 -34 + 3u = -33 + -30u Solving -34 + 3u = -33 + -30u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '30u' to each side of the equation. -34 + 3u + 30u = -33 + -30u + 30u Combine like terms: 3u + 30u = 33u -34 + 33u = -33 + -30u + 30u Combine like terms: -30u + 30u = 0 -34 + 33u = -33 + 0 -34 + 33u = -33 Add '34' to each side of the equation. -34 + 34 + 33u = -33 + 34 Combine like terms: -34 + 34 = 0 0 + 33u = -33 + 34 33u = -33 + 34 Combine like terms: -33 + 34 = 1 33u = 1 Divide each side by '33'. u = 0.0303030303 Simplifying u = 0.0303030303
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