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Simplifying -6u + -47 = 5(u + 6) Reorder the terms: -47 + -6u = 5(u + 6) Reorder the terms: -47 + -6u = 5(6 + u) -47 + -6u = (6 * 5 + u * 5) -47 + -6u = (30 + 5u) Solving -47 + -6u = 30 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -47 + -6u + -5u = 30 + 5u + -5u Combine like terms: -6u + -5u = -11u -47 + -11u = 30 + 5u + -5u Combine like terms: 5u + -5u = 0 -47 + -11u = 30 + 0 -47 + -11u = 30 Add '47' to each side of the equation. -47 + 47 + -11u = 30 + 47 Combine like terms: -47 + 47 = 0 0 + -11u = 30 + 47 -11u = 30 + 47 Combine like terms: 30 + 47 = 77 -11u = 77 Divide each side by '-11'. u = -7 Simplifying u = -7
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