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Simplifying 5(3u + 1) + -2(u + -3) = 2u Reorder the terms: 5(1 + 3u) + -2(u + -3) = 2u (1 * 5 + 3u * 5) + -2(u + -3) = 2u (5 + 15u) + -2(u + -3) = 2u Reorder the terms: 5 + 15u + -2(-3 + u) = 2u 5 + 15u + (-3 * -2 + u * -2) = 2u 5 + 15u + (6 + -2u) = 2u Reorder the terms: 5 + 6 + 15u + -2u = 2u Combine like terms: 5 + 6 = 11 11 + 15u + -2u = 2u Combine like terms: 15u + -2u = 13u 11 + 13u = 2u Solving 11 + 13u = 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. 11 + 13u + -2u = 2u + -2u Combine like terms: 13u + -2u = 11u 11 + 11u = 2u + -2u Combine like terms: 2u + -2u = 0 11 + 11u = 0 Add '-11' to each side of the equation. 11 + -11 + 11u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 11u = 0 + -11 11u = 0 + -11 Combine like terms: 0 + -11 = -11 11u = -11 Divide each side by '11'. u = -1 Simplifying u = -1
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