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Simplifying -5(-3u + 7) + -7u = 2(u + -9) + -3 Reorder the terms: -5(7 + -3u) + -7u = 2(u + -9) + -3 (7 * -5 + -3u * -5) + -7u = 2(u + -9) + -3 (-35 + 15u) + -7u = 2(u + -9) + -3 Combine like terms: 15u + -7u = 8u -35 + 8u = 2(u + -9) + -3 Reorder the terms: -35 + 8u = 2(-9 + u) + -3 -35 + 8u = (-9 * 2 + u * 2) + -3 -35 + 8u = (-18 + 2u) + -3 Reorder the terms: -35 + 8u = -18 + -3 + 2u Combine like terms: -18 + -3 = -21 -35 + 8u = -21 + 2u Solving -35 + 8u = -21 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -35 + 8u + -2u = -21 + 2u + -2u Combine like terms: 8u + -2u = 6u -35 + 6u = -21 + 2u + -2u Combine like terms: 2u + -2u = 0 -35 + 6u = -21 + 0 -35 + 6u = -21 Add '35' to each side of the equation. -35 + 35 + 6u = -21 + 35 Combine like terms: -35 + 35 = 0 0 + 6u = -21 + 35 6u = -21 + 35 Combine like terms: -21 + 35 = 14 6u = 14 Divide each side by '6'. u = 2.333333333 Simplifying u = 2.333333333
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