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Simplifying -38 = 7u + 6(u + -2) Reorder the terms: -38 = 7u + 6(-2 + u) -38 = 7u + (-2 * 6 + u * 6) -38 = 7u + (-12 + 6u) Reorder the terms: -38 = -12 + 7u + 6u Combine like terms: 7u + 6u = 13u -38 = -12 + 13u Solving -38 = -12 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -38 + -13u = -12 + 13u + -13u Combine like terms: 13u + -13u = 0 -38 + -13u = -12 + 0 -38 + -13u = -12 Add '38' to each side of the equation. -38 + 38 + -13u = -12 + 38 Combine like terms: -38 + 38 = 0 0 + -13u = -12 + 38 -13u = -12 + 38 Combine like terms: -12 + 38 = 26 -13u = 26 Divide each side by '-13'. u = -2 Simplifying u = -2
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