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Simplifying 9u + -7 + 2(2u + 3) = -5(u + 1) Reorder the terms: 9u + -7 + 2(3 + 2u) = -5(u + 1) 9u + -7 + (3 * 2 + 2u * 2) = -5(u + 1) 9u + -7 + (6 + 4u) = -5(u + 1) Reorder the terms: -7 + 6 + 9u + 4u = -5(u + 1) Combine like terms: -7 + 6 = -1 -1 + 9u + 4u = -5(u + 1) Combine like terms: 9u + 4u = 13u -1 + 13u = -5(u + 1) Reorder the terms: -1 + 13u = -5(1 + u) -1 + 13u = (1 * -5 + u * -5) -1 + 13u = (-5 + -5u) Solving -1 + 13u = -5 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -1 + 13u + 5u = -5 + -5u + 5u Combine like terms: 13u + 5u = 18u -1 + 18u = -5 + -5u + 5u Combine like terms: -5u + 5u = 0 -1 + 18u = -5 + 0 -1 + 18u = -5 Add '1' to each side of the equation. -1 + 1 + 18u = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 18u = -5 + 1 18u = -5 + 1 Combine like terms: -5 + 1 = -4 18u = -4 Divide each side by '18'. u = -0.2222222222 Simplifying u = -0.2222222222
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