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Simplifying -2(u + 1) = 2u + -6 + 2(7u + 3) Reorder the terms: -2(1 + u) = 2u + -6 + 2(7u + 3) (1 * -2 + u * -2) = 2u + -6 + 2(7u + 3) (-2 + -2u) = 2u + -6 + 2(7u + 3) Reorder the terms: -2 + -2u = 2u + -6 + 2(3 + 7u) -2 + -2u = 2u + -6 + (3 * 2 + 7u * 2) -2 + -2u = 2u + -6 + (6 + 14u) Reorder the terms: -2 + -2u = -6 + 6 + 2u + 14u Combine like terms: -6 + 6 = 0 -2 + -2u = 0 + 2u + 14u -2 + -2u = 2u + 14u Combine like terms: 2u + 14u = 16u -2 + -2u = 16u Solving -2 + -2u = 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. -2 + -2u + -16u = 16u + -16u Combine like terms: -2u + -16u = -18u -2 + -18u = 16u + -16u Combine like terms: 16u + -16u = 0 -2 + -18u = 0 Add '2' to each side of the equation. -2 + 2 + -18u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -18u = 0 + 2 -18u = 0 + 2 Combine like terms: 0 + 2 = 2 -18u = 2 Divide each side by '-18'. u = -0.1111111111 Simplifying u = -0.1111111111
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