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Simplifying u + -2 + 4(3u + 1) = -2(u + 2) Reorder the terms: u + -2 + 4(1 + 3u) = -2(u + 2) u + -2 + (1 * 4 + 3u * 4) = -2(u + 2) u + -2 + (4 + 12u) = -2(u + 2) Reorder the terms: -2 + 4 + u + 12u = -2(u + 2) Combine like terms: -2 + 4 = 2 2 + u + 12u = -2(u + 2) Combine like terms: u + 12u = 13u 2 + 13u = -2(u + 2) Reorder the terms: 2 + 13u = -2(2 + u) 2 + 13u = (2 * -2 + u * -2) 2 + 13u = (-4 + -2u) Solving 2 + 13u = -4 + -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. 2 + 13u + 2u = -4 + -2u + 2u Combine like terms: 13u + 2u = 15u 2 + 15u = -4 + -2u + 2u Combine like terms: -2u + 2u = 0 2 + 15u = -4 + 0 2 + 15u = -4 Add '-2' to each side of the equation. 2 + -2 + 15u = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 15u = -4 + -2 15u = -4 + -2 Combine like terms: -4 + -2 = -6 15u = -6 Divide each side by '15'. u = -0.4 Simplifying u = -0.4
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