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Simplifying -4u + 27 = 5(u + -9) Reorder the terms: 27 + -4u = 5(u + -9) Reorder the terms: 27 + -4u = 5(-9 + u) 27 + -4u = (-9 * 5 + u * 5) 27 + -4u = (-45 + 5u) Solving 27 + -4u = -45 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 27 + -4u + -5u = -45 + 5u + -5u Combine like terms: -4u + -5u = -9u 27 + -9u = -45 + 5u + -5u Combine like terms: 5u + -5u = 0 27 + -9u = -45 + 0 27 + -9u = -45 Add '-27' to each side of the equation. 27 + -27 + -9u = -45 + -27 Combine like terms: 27 + -27 = 0 0 + -9u = -45 + -27 -9u = -45 + -27 Combine like terms: -45 + -27 = -72 -9u = -72 Divide each side by '-9'. u = 8 Simplifying u = 8
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