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Simplifying -7u + 46 = 4(u + -5) Reorder the terms: 46 + -7u = 4(u + -5) Reorder the terms: 46 + -7u = 4(-5 + u) 46 + -7u = (-5 * 4 + u * 4) 46 + -7u = (-20 + 4u) Solving 46 + -7u = -20 + 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. 46 + -7u + -4u = -20 + 4u + -4u Combine like terms: -7u + -4u = -11u 46 + -11u = -20 + 4u + -4u Combine like terms: 4u + -4u = 0 46 + -11u = -20 + 0 46 + -11u = -20 Add '-46' to each side of the equation. 46 + -46 + -11u = -20 + -46 Combine like terms: 46 + -46 = 0 0 + -11u = -20 + -46 -11u = -20 + -46 Combine like terms: -20 + -46 = -66 -11u = -66 Divide each side by '-11'. u = 6 Simplifying u = 6
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