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Simplifying -5(3u + -2) + 3u = 2(u + 4) Reorder the terms: -5(-2 + 3u) + 3u = 2(u + 4) (-2 * -5 + 3u * -5) + 3u = 2(u + 4) (10 + -15u) + 3u = 2(u + 4) Combine like terms: -15u + 3u = -12u 10 + -12u = 2(u + 4) Reorder the terms: 10 + -12u = 2(4 + u) 10 + -12u = (4 * 2 + u * 2) 10 + -12u = (8 + 2u) Solving 10 + -12u = 8 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 10 + -12u + -2u = 8 + 2u + -2u Combine like terms: -12u + -2u = -14u 10 + -14u = 8 + 2u + -2u Combine like terms: 2u + -2u = 0 10 + -14u = 8 + 0 10 + -14u = 8 Add '-10' to each side of the equation. 10 + -10 + -14u = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -14u = 8 + -10 -14u = 8 + -10 Combine like terms: 8 + -10 = -2 -14u = -2 Divide each side by '-14'. u = 0.1428571429 Simplifying u = 0.1428571429
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