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Simplifying -3(3u + -8) + 5u = 6(u + 1) Reorder the terms: -3(-8 + 3u) + 5u = 6(u + 1) (-8 * -3 + 3u * -3) + 5u = 6(u + 1) (24 + -9u) + 5u = 6(u + 1) Combine like terms: -9u + 5u = -4u 24 + -4u = 6(u + 1) Reorder the terms: 24 + -4u = 6(1 + u) 24 + -4u = (1 * 6 + u * 6) 24 + -4u = (6 + 6u) Solving 24 + -4u = 6 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 24 + -4u + -6u = 6 + 6u + -6u Combine like terms: -4u + -6u = -10u 24 + -10u = 6 + 6u + -6u Combine like terms: 6u + -6u = 0 24 + -10u = 6 + 0 24 + -10u = 6 Add '-24' to each side of the equation. 24 + -24 + -10u = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -10u = 6 + -24 -10u = 6 + -24 Combine like terms: 6 + -24 = -18 -10u = -18 Divide each side by '-10'. u = 1.8 Simplifying u = 1.8
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