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Simplifying 5u + -38 = -6(u + -1) Reorder the terms: -38 + 5u = -6(u + -1) Reorder the terms: -38 + 5u = -6(-1 + u) -38 + 5u = (-1 * -6 + u * -6) -38 + 5u = (6 + -6u) Solving -38 + 5u = 6 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -38 + 5u + 6u = 6 + -6u + 6u Combine like terms: 5u + 6u = 11u -38 + 11u = 6 + -6u + 6u Combine like terms: -6u + 6u = 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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