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Simplifying 9u + -38 = -2(u + -3) Reorder the terms: -38 + 9u = -2(u + -3) Reorder the terms: -38 + 9u = -2(-3 + u) -38 + 9u = (-3 * -2 + u * -2) -38 + 9u = (6 + -2u) Solving -38 + 9u = 6 + -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. -38 + 9u + 2u = 6 + -2u + 2u Combine like terms: 9u + 2u = 11u -38 + 11u = 6 + -2u + 2u Combine like terms: -2u + 2u = 0 -38 + 11u = 6 + 0 -38 + 11u = 6 Add '38' to each side of the equation. -38 + 38 + 11u = 6 + 38 Combine like terms: -38 + 38 = 0 0 + 11u = 6 + 38 11u = 6 + 38 Combine like terms: 6 + 38 = 44 11u = 44 Divide each side by '11'. u = 4 Simplifying u = 4
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