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Simplifying 17u + 12 + -3(5u + -4) = 3 + 3(u + 7) Reorder the terms: 17u + 12 + -3(-4 + 5u) = 3 + 3(u + 7) 17u + 12 + (-4 * -3 + 5u * -3) = 3 + 3(u + 7) 17u + 12 + (12 + -15u) = 3 + 3(u + 7) Reorder the terms: 12 + 12 + 17u + -15u = 3 + 3(u + 7) Combine like terms: 12 + 12 = 24 24 + 17u + -15u = 3 + 3(u + 7) Combine like terms: 17u + -15u = 2u 24 + 2u = 3 + 3(u + 7) Reorder the terms: 24 + 2u = 3 + 3(7 + u) 24 + 2u = 3 + (7 * 3 + u * 3) 24 + 2u = 3 + (21 + 3u) Combine like terms: 3 + 21 = 24 24 + 2u = 24 + 3u Add '-24' to each side of the equation. 24 + -24 + 2u = 24 + -24 + 3u Combine like terms: 24 + -24 = 0 0 + 2u = 24 + -24 + 3u 2u = 24 + -24 + 3u Combine like terms: 24 + -24 = 0 2u = 0 + 3u 2u = 3u Solving 2u = 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 2u + -3u = 3u + -3u Combine like terms: 2u + -3u = -1u -1u = 3u + -3u Combine like terms: 3u + -3u = 0 -1u = 0 Divide each side by '-1'. u = 0 Simplifying u = 0
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