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Simplifying 2u + -7 = 5(3 + -1u) + -1 Reorder the terms: -7 + 2u = 5(3 + -1u) + -1 -7 + 2u = (3 * 5 + -1u * 5) + -1 -7 + 2u = (15 + -5u) + -1 Reorder the terms: -7 + 2u = 15 + -1 + -5u Combine like terms: 15 + -1 = 14 -7 + 2u = 14 + -5u Solving -7 + 2u = 14 + -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. -7 + 2u + 5u = 14 + -5u + 5u Combine like terms: 2u + 5u = 7u -7 + 7u = 14 + -5u + 5u Combine like terms: -5u + 5u = 0 -7 + 7u = 14 + 0 -7 + 7u = 14 Add '7' to each side of the equation. -7 + 7 + 7u = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 7u = 14 + 7 7u = 14 + 7 Combine like terms: 14 + 7 = 21 7u = 21 Divide each side by '7'. u = 3 Simplifying u = 3
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