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Simplifying u + -2 + 2(4u + 1) = -6(u + 3) Reorder the terms: u + -2 + 2(1 + 4u) = -6(u + 3) u + -2 + (1 * 2 + 4u * 2) = -6(u + 3) u + -2 + (2 + 8u) = -6(u + 3) Reorder the terms: -2 + 2 + u + 8u = -6(u + 3) Combine like terms: -2 + 2 = 0 0 + u + 8u = -6(u + 3) u + 8u = -6(u + 3) Combine like terms: u + 8u = 9u 9u = -6(u + 3) Reorder the terms: 9u = -6(3 + u) 9u = (3 * -6 + u * -6) 9u = (-18 + -6u) Solving 9u = -18 + -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. 9u + 6u = -18 + -6u + 6u Combine like terms: 9u + 6u = 15u 15u = -18 + -6u + 6u Combine like terms: -6u + 6u = 0 15u = -18 + 0 15u = -18 Divide each side by '15'. u = -1.2 Simplifying u = -1.2
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