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Simplifying -2(u + 5) = u + -4 + 3(5u + 3) Reorder the terms: -2(5 + u) = u + -4 + 3(5u + 3) (5 * -2 + u * -2) = u + -4 + 3(5u + 3) (-10 + -2u) = u + -4 + 3(5u + 3) Reorder the terms: -10 + -2u = u + -4 + 3(3 + 5u) -10 + -2u = u + -4 + (3 * 3 + 5u * 3) -10 + -2u = u + -4 + (9 + 15u) Reorder the terms: -10 + -2u = -4 + 9 + u + 15u Combine like terms: -4 + 9 = 5 -10 + -2u = 5 + u + 15u Combine like terms: u + 15u = 16u -10 + -2u = 5 + 16u Solving -10 + -2u = 5 + 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 = 5 + 16u + -16u Combine like terms: -2u + -16u = -18u -10 + -18u = 5 + 16u + -16u Combine like terms: 16u + -16u = 0 -10 + -18u = 5 + 0 -10 + -18u = 5 Add '10' to each side of the equation. -10 + 10 + -18u = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -18u = 5 + 10 -18u = 5 + 10 Combine like terms: 5 + 10 = 15 -18u = 15 Divide each side by '-18'. u = -0.8333333333 Simplifying u = -0.8333333333
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