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Simplifying 4(u + 5) = -3(2u + -4) + 4u Reorder the terms: 4(5 + u) = -3(2u + -4) + 4u (5 * 4 + u * 4) = -3(2u + -4) + 4u (20 + 4u) = -3(2u + -4) + 4u Reorder the terms: 20 + 4u = -3(-4 + 2u) + 4u 20 + 4u = (-4 * -3 + 2u * -3) + 4u 20 + 4u = (12 + -6u) + 4u Combine like terms: -6u + 4u = -2u 20 + 4u = 12 + -2u Solving 20 + 4u = 12 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 20 + 4u + 2u = 12 + -2u + 2u Combine like terms: 4u + 2u = 6u 20 + 6u = 12 + -2u + 2u Combine like terms: -2u + 2u = 0 20 + 6u = 12 + 0 20 + 6u = 12 Add '-20' to each side of the equation. 20 + -20 + 6u = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 6u = 12 + -20 6u = 12 + -20 Combine like terms: 12 + -20 = -8 6u = -8 Divide each side by '6'. u = -1.333333333 Simplifying u = -1.333333333
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