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Simplifying -2(8u + -9) + 6u = 5(u + 6) Reorder the terms: -2(-9 + 8u) + 6u = 5(u + 6) (-9 * -2 + 8u * -2) + 6u = 5(u + 6) (18 + -16u) + 6u = 5(u + 6) Combine like terms: -16u + 6u = -10u 18 + -10u = 5(u + 6) Reorder the terms: 18 + -10u = 5(6 + u) 18 + -10u = (6 * 5 + u * 5) 18 + -10u = (30 + 5u) Solving 18 + -10u = 30 + 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. 18 + -10u + -5u = 30 + 5u + -5u Combine like terms: -10u + -5u = -15u 18 + -15u = 30 + 5u + -5u Combine like terms: 5u + -5u = 0 18 + -15u = 30 + 0 18 + -15u = 30 Add '-18' to each side of the equation. 18 + -18 + -15u = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -15u = 30 + -18 -15u = 30 + -18 Combine like terms: 30 + -18 = 12 -15u = 12 Divide each side by '-15'. u = -0.8 Simplifying u = -0.8
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