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Simplifying 5u + -27 = -8(u + 5) Reorder the terms: -27 + 5u = -8(u + 5) Reorder the terms: -27 + 5u = -8(5 + u) -27 + 5u = (5 * -8 + u * -8) -27 + 5u = (-40 + -8u) Solving -27 + 5u = -40 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. -27 + 5u + 8u = -40 + -8u + 8u Combine like terms: 5u + 8u = 13u -27 + 13u = -40 + -8u + 8u Combine like terms: -8u + 8u = 0 -27 + 13u = -40 + 0 -27 + 13u = -40 Add '27' to each side of the equation. -27 + 27 + 13u = -40 + 27 Combine like terms: -27 + 27 = 0 0 + 13u = -40 + 27 13u = -40 + 27 Combine like terms: -40 + 27 = -13 13u = -13 Divide each side by '13'. u = -1 Simplifying u = -1
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