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Simplifying 8(3u + 2) + 5 = 2(2u + -2) Reorder the terms: 8(2 + 3u) + 5 = 2(2u + -2) (2 * 8 + 3u * 8) + 5 = 2(2u + -2) (16 + 24u) + 5 = 2(2u + -2) Reorder the terms: 16 + 5 + 24u = 2(2u + -2) Combine like terms: 16 + 5 = 21 21 + 24u = 2(2u + -2) Reorder the terms: 21 + 24u = 2(-2 + 2u) 21 + 24u = (-2 * 2 + 2u * 2) 21 + 24u = (-4 + 4u) Solving 21 + 24u = -4 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 21 + 24u + -4u = -4 + 4u + -4u Combine like terms: 24u + -4u = 20u 21 + 20u = -4 + 4u + -4u Combine like terms: 4u + -4u = 0 21 + 20u = -4 + 0 21 + 20u = -4 Add '-21' to each side of the equation. 21 + -21 + 20u = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 20u = -4 + -21 20u = -4 + -21 Combine like terms: -4 + -21 = -25 20u = -25 Divide each side by '20'. u = -1.25 Simplifying u = -1.25
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