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Simplifying -2(u + 2) = 6u + -7 + 5(2u + 1) Reorder the terms: -2(2 + u) = 6u + -7 + 5(2u + 1) (2 * -2 + u * -2) = 6u + -7 + 5(2u + 1) (-4 + -2u) = 6u + -7 + 5(2u + 1) Reorder the terms: -4 + -2u = 6u + -7 + 5(1 + 2u) -4 + -2u = 6u + -7 + (1 * 5 + 2u * 5) -4 + -2u = 6u + -7 + (5 + 10u) Reorder the terms: -4 + -2u = -7 + 5 + 6u + 10u Combine like terms: -7 + 5 = -2 -4 + -2u = -2 + 6u + 10u Combine like terms: 6u + 10u = 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 = 2 -18u = 2 Divide each side by '-18'. u = -0.1111111111 Simplifying u = -0.1111111111
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