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Simplifying 2u + -2 = 5(4 + -1u) + -1 Reorder the terms: -2 + 2u = 5(4 + -1u) + -1 -2 + 2u = (4 * 5 + -1u * 5) + -1 -2 + 2u = (20 + -5u) + -1 Reorder the terms: -2 + 2u = 20 + -1 + -5u Combine like terms: 20 + -1 = 19 -2 + 2u = 19 + -5u Solving -2 + 2u = 19 + -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. -2 + 2u + 5u = 19 + -5u + 5u Combine like terms: 2u + 5u = 7u -2 + 7u = 19 + -5u + 5u Combine like terms: -5u + 5u = 0 -2 + 7u = 19 + 0 -2 + 7u = 19 Add '2' to each side of the equation. -2 + 2 + 7u = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7u = 19 + 2 7u = 19 + 2 Combine like terms: 19 + 2 = 21 7u = 21 Divide each side by '7'. u = 3 Simplifying u = 3
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