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Simplifying 10 + -5u + -1u = 2u + 1 Combine like terms: -5u + -1u = -6u 10 + -6u = 2u + 1 Reorder the terms: 10 + -6u = 1 + 2u Solving 10 + -6u = 1 + 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 = 1 + 2u + -2u Combine like terms: -6u + -2u = -8u 10 + -8u = 1 + 2u + -2u Combine like terms: 2u + -2u = 0 10 + -8u = 1 + 0 10 + -8u = 1 Add '-10' to each side of the equation. 10 + -10 + -8u = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -8u = 1 + -10 -8u = 1 + -10 Combine like terms: 1 + -10 = -9 -8u = -9 Divide each side by '-8'. u = 1.125 Simplifying u = 1.125
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