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Simplifying -6(u + -5) = 7u + -35 Reorder the terms: -6(-5 + u) = 7u + -35 (-5 * -6 + u * -6) = 7u + -35 (30 + -6u) = 7u + -35 Reorder the terms: 30 + -6u = -35 + 7u Solving 30 + -6u = -35 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 30 + -6u + -7u = -35 + 7u + -7u Combine like terms: -6u + -7u = -13u 30 + -13u = -35 + 7u + -7u Combine like terms: 7u + -7u = 0 30 + -13u = -35 + 0 30 + -13u = -35 Add '-30' to each side of the equation. 30 + -30 + -13u = -35 + -30 Combine like terms: 30 + -30 = 0 0 + -13u = -35 + -30 -13u = -35 + -30 Combine like terms: -35 + -30 = -65 -13u = -65 Divide each side by '-13'. u = 5 Simplifying u = 5
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