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Simplifying 1 + 5(3u + -1) = -2(2u + -3) + u Reorder the terms: 1 + 5(-1 + 3u) = -2(2u + -3) + u 1 + (-1 * 5 + 3u * 5) = -2(2u + -3) + u 1 + (-5 + 15u) = -2(2u + -3) + u Combine like terms: 1 + -5 = -4 -4 + 15u = -2(2u + -3) + u Reorder the terms: -4 + 15u = -2(-3 + 2u) + u -4 + 15u = (-3 * -2 + 2u * -2) + u -4 + 15u = (6 + -4u) + u Combine like terms: -4u + u = -3u -4 + 15u = 6 + -3u Solving -4 + 15u = 6 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -4 + 15u + 3u = 6 + -3u + 3u Combine like terms: 15u + 3u = 18u -4 + 18u = 6 + -3u + 3u Combine like terms: -3u + 3u = 0 -4 + 18u = 6 + 0 -4 + 18u = 6 Add '4' to each side of the equation. -4 + 4 + 18u = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 18u = 6 + 4 18u = 6 + 4 Combine like terms: 6 + 4 = 10 18u = 10 Divide each side by '18'. u = 0.5555555556 Simplifying u = 0.5555555556
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