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Simplifying -5(-5u + 4) + -1u = 6(u + -2) + -2 Reorder the terms: -5(4 + -5u) + -1u = 6(u + -2) + -2 (4 * -5 + -5u * -5) + -1u = 6(u + -2) + -2 (-20 + 25u) + -1u = 6(u + -2) + -2 Combine like terms: 25u + -1u = 24u -20 + 24u = 6(u + -2) + -2 Reorder the terms: -20 + 24u = 6(-2 + u) + -2 -20 + 24u = (-2 * 6 + u * 6) + -2 -20 + 24u = (-12 + 6u) + -2 Reorder the terms: -20 + 24u = -12 + -2 + 6u Combine like terms: -12 + -2 = -14 -20 + 24u = -14 + 6u Solving -20 + 24u = -14 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -20 + 24u + -6u = -14 + 6u + -6u Combine like terms: 24u + -6u = 18u -20 + 18u = -14 + 6u + -6u Combine like terms: 6u + -6u = 0 -20 + 18u = -14 + 0 -20 + 18u = -14 Add '20' to each side of the equation. -20 + 20 + 18u = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 18u = -14 + 20 18u = -14 + 20 Combine like terms: -14 + 20 = 6 18u = 6 Divide each side by '18'. u = 0.3333333333 Simplifying u = 0.3333333333
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