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