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Simplifying -4(u + 3) = 9u + -38 Reorder the terms: -4(3 + u) = 9u + -38 (3 * -4 + u * -4) = 9u + -38 (-12 + -4u) = 9u + -38 Reorder the terms: -12 + -4u = -38 + 9u Solving -12 + -4u = -38 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -12 + -4u + -9u = -38 + 9u + -9u Combine like terms: -4u + -9u = -13u -12 + -13u = -38 + 9u + -9u Combine like terms: 9u + -9u = 0 -12 + -13u = -38 + 0 -12 + -13u = -38 Add '12' to each side of the equation. -12 + 12 + -13u = -38 + 12 Combine like terms: -12 + 12 = 0 0 + -13u = -38 + 12 -13u = -38 + 12 Combine like terms: -38 + 12 = -26 -13u = -26 Divide each side by '-13'. u = 2 Simplifying u = 2
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