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Simplifying 3(2u + -3) + -2(u + 4) = 3u + 8 Reorder the terms: 3(-3 + 2u) + -2(u + 4) = 3u + 8 (-3 * 3 + 2u * 3) + -2(u + 4) = 3u + 8 (-9 + 6u) + -2(u + 4) = 3u + 8 Reorder the terms: -9 + 6u + -2(4 + u) = 3u + 8 -9 + 6u + (4 * -2 + u * -2) = 3u + 8 -9 + 6u + (-8 + -2u) = 3u + 8 Reorder the terms: -9 + -8 + 6u + -2u = 3u + 8 Combine like terms: -9 + -8 = -17 -17 + 6u + -2u = 3u + 8 Combine like terms: 6u + -2u = 4u -17 + 4u = 3u + 8 Reorder the terms: -17 + 4u = 8 + 3u Solving -17 + 4u = 8 + 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. -17 + 4u + -3u = 8 + 3u + -3u Combine like terms: 4u + -3u = 1u -17 + 1u = 8 + 3u + -3u Combine like terms: 3u + -3u = 0 -17 + 1u = 8 + 0 -17 + 1u = 8 Add '17' to each side of the equation. -17 + 17 + 1u = 8 + 17 Combine like terms: -17 + 17 = 0 0 + 1u = 8 + 17 1u = 8 + 17 Combine like terms: 8 + 17 = 25 1u = 25 Divide each side by '1'. u = 25 Simplifying u = 25
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