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Simplifying 6u + -47 = -5(u + 5) Reorder the terms: -47 + 6u = -5(u + 5) Reorder the terms: -47 + 6u = -5(5 + u) -47 + 6u = (5 * -5 + u * -5) -47 + 6u = (-25 + -5u) Solving -47 + 6u = -25 + -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 = -25 + -5u + 5u Combine like terms: 6u + 5u = 11u -47 + 11u = -25 + -5u + 5u Combine like terms: -5u + 5u = 0 -47 + 11u = -25 + 0 -47 + 11u = -25 Add '47' to each side of the equation. -47 + 47 + 11u = -25 + 47 Combine like terms: -47 + 47 = 0 0 + 11u = -25 + 47 11u = -25 + 47 Combine like terms: -25 + 47 = 22 11u = 22 Divide each side by '11'. u = 2 Simplifying u = 2
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