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Simplifying -2(u + 5) = 4u + -6 + 4(3u + 1) Reorder the terms: -2(5 + u) = 4u + -6 + 4(3u + 1) (5 * -2 + u * -2) = 4u + -6 + 4(3u + 1) (-10 + -2u) = 4u + -6 + 4(3u + 1) Reorder the terms: -10 + -2u = 4u + -6 + 4(1 + 3u) -10 + -2u = 4u + -6 + (1 * 4 + 3u * 4) -10 + -2u = 4u + -6 + (4 + 12u) Reorder the terms: -10 + -2u = -6 + 4 + 4u + 12u Combine like terms: -6 + 4 = -2 -10 + -2u = -2 + 4u + 12u Combine like terms: 4u + 12u = 16u -10 + -2u = -2 + 16u Solving -10 + -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. -10 + -2u + -16u = -2 + 16u + -16u Combine like terms: -2u + -16u = -18u -10 + -18u = -2 + 16u + -16u Combine like terms: 16u + -16u = 0 -10 + -18u = -2 + 0 -10 + -18u = -2 Add '10' to each side of the equation. -10 + 10 + -18u = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -18u = -2 + 10 -18u = -2 + 10 Combine like terms: -2 + 10 = 8 -18u = 8 Divide each side by '-18'. u = -0.4444444444 Simplifying u = -0.4444444444
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