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Simplifying 4u + -5 = 2(4 + -1u) + -1 Reorder the terms: -5 + 4u = 2(4 + -1u) + -1 -5 + 4u = (4 * 2 + -1u * 2) + -1 -5 + 4u = (8 + -2u) + -1 Reorder the terms: -5 + 4u = 8 + -1 + -2u Combine like terms: 8 + -1 = 7 -5 + 4u = 7 + -2u Solving -5 + 4u = 7 + -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. -5 + 4u + 2u = 7 + -2u + 2u Combine like terms: 4u + 2u = 6u -5 + 6u = 7 + -2u + 2u Combine like terms: -2u + 2u = 0 -5 + 6u = 7 + 0 -5 + 6u = 7 Add '5' to each side of the equation. -5 + 5 + 6u = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6u = 7 + 5 6u = 7 + 5 Combine like terms: 7 + 5 = 12 6u = 12 Divide each side by '6'. u = 2 Simplifying u = 2
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