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Simplifying -2(u + 2) = 7u + -1 + 3(3u + 1) Reorder the terms: -2(2 + u) = 7u + -1 + 3(3u + 1) (2 * -2 + u * -2) = 7u + -1 + 3(3u + 1) (-4 + -2u) = 7u + -1 + 3(3u + 1) Reorder the terms: -4 + -2u = 7u + -1 + 3(1 + 3u) -4 + -2u = 7u + -1 + (1 * 3 + 3u * 3) -4 + -2u = 7u + -1 + (3 + 9u) Reorder the terms: -4 + -2u = -1 + 3 + 7u + 9u Combine like terms: -1 + 3 = 2 -4 + -2u = 2 + 7u + 9u Combine like terms: 7u + 9u = 16u -4 + -2u = 2 + 16u Solving -4 + -2u = 2 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -4 + -2u + -16u = 2 + 16u + -16u Combine like terms: -2u + -16u = -18u -4 + -18u = 2 + 16u + -16u Combine like terms: 16u + -16u = 0 -4 + -18u = 2 + 0 -4 + -18u = 2 Add '4' to each side of the equation. -4 + 4 + -18u = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -18u = 2 + 4 -18u = 2 + 4 Combine like terms: 2 + 4 = 6 -18u = 6 Divide each side by '-18'. u = -0.3333333333 Simplifying u = -0.3333333333
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