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Simplifying -5(3u + -1) + 9u = 8 + 2(4u + -5) Reorder the terms: -5(-1 + 3u) + 9u = 8 + 2(4u + -5) (-1 * -5 + 3u * -5) + 9u = 8 + 2(4u + -5) (5 + -15u) + 9u = 8 + 2(4u + -5) Combine like terms: -15u + 9u = -6u 5 + -6u = 8 + 2(4u + -5) Reorder the terms: 5 + -6u = 8 + 2(-5 + 4u) 5 + -6u = 8 + (-5 * 2 + 4u * 2) 5 + -6u = 8 + (-10 + 8u) Combine like terms: 8 + -10 = -2 5 + -6u = -2 + 8u Solving 5 + -6u = -2 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 5 + -6u + -8u = -2 + 8u + -8u Combine like terms: -6u + -8u = -14u 5 + -14u = -2 + 8u + -8u Combine like terms: 8u + -8u = 0 5 + -14u = -2 + 0 5 + -14u = -2 Add '-5' to each side of the equation. 5 + -5 + -14u = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -14u = -2 + -5 -14u = -2 + -5 Combine like terms: -2 + -5 = -7 -14u = -7 Divide each side by '-14'. u = 0.5 Simplifying u = 0.5
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