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Simplifying 2(4u + -5) = 7(11 + -3u) Reorder the terms: 2(-5 + 4u) = 7(11 + -3u) (-5 * 2 + 4u * 2) = 7(11 + -3u) (-10 + 8u) = 7(11 + -3u) -10 + 8u = (11 * 7 + -3u * 7) -10 + 8u = (77 + -21u) Solving -10 + 8u = 77 + -21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21u' to each side of the equation. -10 + 8u + 21u = 77 + -21u + 21u Combine like terms: 8u + 21u = 29u -10 + 29u = 77 + -21u + 21u Combine like terms: -21u + 21u = 0 -10 + 29u = 77 + 0 -10 + 29u = 77 Add '10' to each side of the equation. -10 + 10 + 29u = 77 + 10 Combine like terms: -10 + 10 = 0 0 + 29u = 77 + 10 29u = 77 + 10 Combine like terms: 77 + 10 = 87 29u = 87 Divide each side by '29'. u = 3 Simplifying u = 3
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