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Simplifying -2(-8u + 9) + -4u = 2(u + -5) + -3 Reorder the terms: -2(9 + -8u) + -4u = 2(u + -5) + -3 (9 * -2 + -8u * -2) + -4u = 2(u + -5) + -3 (-18 + 16u) + -4u = 2(u + -5) + -3 Combine like terms: 16u + -4u = 12u -18 + 12u = 2(u + -5) + -3 Reorder the terms: -18 + 12u = 2(-5 + u) + -3 -18 + 12u = (-5 * 2 + u * 2) + -3 -18 + 12u = (-10 + 2u) + -3 Reorder the terms: -18 + 12u = -10 + -3 + 2u Combine like terms: -10 + -3 = -13 -18 + 12u = -13 + 2u Solving -18 + 12u = -13 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -18 + 12u + -2u = -13 + 2u + -2u Combine like terms: 12u + -2u = 10u -18 + 10u = -13 + 2u + -2u Combine like terms: 2u + -2u = 0 -18 + 10u = -13 + 0 -18 + 10u = -13 Add '18' to each side of the equation. -18 + 18 + 10u = -13 + 18 Combine like terms: -18 + 18 = 0 0 + 10u = -13 + 18 10u = -13 + 18 Combine like terms: -13 + 18 = 5 10u = 5 Divide each side by '10'. u = 0.5 Simplifying u = 0.5
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