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Simplifying 2u + -3 = 5(3 + -1u) + -4 Reorder the terms: -3 + 2u = 5(3 + -1u) + -4 -3 + 2u = (3 * 5 + -1u * 5) + -4 -3 + 2u = (15 + -5u) + -4 Reorder the terms: -3 + 2u = 15 + -4 + -5u Combine like terms: 15 + -4 = 11 -3 + 2u = 11 + -5u Solving -3 + 2u = 11 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -3 + 2u + 5u = 11 + -5u + 5u Combine like terms: 2u + 5u = 7u -3 + 7u = 11 + -5u + 5u Combine like terms: -5u + 5u = 0 -3 + 7u = 11 + 0 -3 + 7u = 11 Add '3' to each side of the equation. -3 + 3 + 7u = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 7u = 11 + 3 7u = 11 + 3 Combine like terms: 11 + 3 = 14 7u = 14 Divide each side by '7'. u = 2 Simplifying u = 2
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