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Simplifying 3(2u + -3) + -2(u + 4) = 0 Reorder the terms: 3(-3 + 2u) + -2(u + 4) = 0 (-3 * 3 + 2u * 3) + -2(u + 4) = 0 (-9 + 6u) + -2(u + 4) = 0 Reorder the terms: -9 + 6u + -2(4 + u) = 0 -9 + 6u + (4 * -2 + u * -2) = 0 -9 + 6u + (-8 + -2u) = 0 Reorder the terms: -9 + -8 + 6u + -2u = 0 Combine like terms: -9 + -8 = -17 -17 + 6u + -2u = 0 Combine like terms: 6u + -2u = 4u -17 + 4u = 0 Solving -17 + 4u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4u = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4u = 0 + 17 4u = 0 + 17 Combine like terms: 0 + 17 = 17 4u = 17 Divide each side by '4'. u = 4.25 Simplifying u = 4.25
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