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Simplifying 5(3u + -5) + -4(u + 6) = 0 Reorder the terms: 5(-5 + 3u) + -4(u + 6) = 0 (-5 * 5 + 3u * 5) + -4(u + 6) = 0 (-25 + 15u) + -4(u + 6) = 0 Reorder the terms: -25 + 15u + -4(6 + u) = 0 -25 + 15u + (6 * -4 + u * -4) = 0 -25 + 15u + (-24 + -4u) = 0 Reorder the terms: -25 + -24 + 15u + -4u = 0 Combine like terms: -25 + -24 = -49 -49 + 15u + -4u = 0 Combine like terms: 15u + -4u = 11u -49 + 11u = 0 Solving -49 + 11u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 11u = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 11u = 0 + 49 11u = 0 + 49 Combine like terms: 0 + 49 = 49 11u = 49 Divide each side by '11'. u = 4.454545455 Simplifying u = 4.454545455
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