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Simplifying -7u + 5(u + -6) = -38 Reorder the terms: -7u + 5(-6 + u) = -38 -7u + (-6 * 5 + u * 5) = -38 -7u + (-30 + 5u) = -38 Reorder the terms: -30 + -7u + 5u = -38 Combine like terms: -7u + 5u = -2u -30 + -2u = -38 Solving -30 + -2u = -38 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2u = -38 + 30 Combine like terms: -30 + 30 = 0 0 + -2u = -38 + 30 -2u = -38 + 30 Combine like terms: -38 + 30 = -8 -2u = -8 Divide each side by '-2'. u = 4 Simplifying u = 4
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