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Simplifying 3(2u + -3) + -2(u + 4) = 3(u + 8) Reorder the terms: 3(-3 + 2u) + -2(u + 4) = 3(u + 8) (-3 * 3 + 2u * 3) + -2(u + 4) = 3(u + 8) (-9 + 6u) + -2(u + 4) = 3(u + 8) Reorder the terms: -9 + 6u + -2(4 + u) = 3(u + 8) -9 + 6u + (4 * -2 + u * -2) = 3(u + 8) -9 + 6u + (-8 + -2u) = 3(u + 8) Reorder the terms: -9 + -8 + 6u + -2u = 3(u + 8) Combine like terms: -9 + -8 = -17 -17 + 6u + -2u = 3(u + 8) Combine like terms: 6u + -2u = 4u -17 + 4u = 3(u + 8) Reorder the terms: -17 + 4u = 3(8 + u) -17 + 4u = (8 * 3 + u * 3) -17 + 4u = (24 + 3u) Solving -17 + 4u = 24 + 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 = 24 + 3u + -3u Combine like terms: 4u + -3u = 1u -17 + 1u = 24 + 3u + -3u Combine like terms: 3u + -3u = 0 -17 + 1u = 24 + 0 -17 + 1u = 24 Add '17' to each side of the equation. -17 + 17 + 1u = 24 + 17 Combine like terms: -17 + 17 = 0 0 + 1u = 24 + 17 1u = 24 + 17 Combine like terms: 24 + 17 = 41 1u = 41 Divide each side by '1'. u = 41 Simplifying u = 41
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