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Simplifying 2u + -6 = 5(2 + -1u) + -2 Reorder the terms: -6 + 2u = 5(2 + -1u) + -2 -6 + 2u = (2 * 5 + -1u * 5) + -2 -6 + 2u = (10 + -5u) + -2 Reorder the terms: -6 + 2u = 10 + -2 + -5u Combine like terms: 10 + -2 = 8 -6 + 2u = 8 + -5u Solving -6 + 2u = 8 + -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. -6 + 2u + 5u = 8 + -5u + 5u Combine like terms: 2u + 5u = 7u -6 + 7u = 8 + -5u + 5u Combine like terms: -5u + 5u = 0 -6 + 7u = 8 + 0 -6 + 7u = 8 Add '6' to each side of the equation. -6 + 6 + 7u = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7u = 8 + 6 7u = 8 + 6 Combine like terms: 8 + 6 = 14 7u = 14 Divide each side by '7'. u = 2 Simplifying u = 2
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