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