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Simplifying -7(u + -6) = 4u + 31 Reorder the terms: -7(-6 + u) = 4u + 31 (-6 * -7 + u * -7) = 4u + 31 (42 + -7u) = 4u + 31 Reorder the terms: 42 + -7u = 31 + 4u Solving 42 + -7u = 31 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 42 + -7u + -4u = 31 + 4u + -4u Combine like terms: -7u + -4u = -11u 42 + -11u = 31 + 4u + -4u Combine like terms: 4u + -4u = 0 42 + -11u = 31 + 0 42 + -11u = 31 Add '-42' to each side of the equation. 42 + -42 + -11u = 31 + -42 Combine like terms: 42 + -42 = 0 0 + -11u = 31 + -42 -11u = 31 + -42 Combine like terms: 31 + -42 = -11 -11u = -11 Divide each side by '-11'. u = 1 Simplifying u = 1
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