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Simplifying 6 + u + -7(6u + 8) = 8u Reorder the terms: 6 + u + -7(8 + 6u) = 8u 6 + u + (8 * -7 + 6u * -7) = 8u 6 + u + (-56 + -42u) = 8u Reorder the terms: 6 + -56 + u + -42u = 8u Combine like terms: 6 + -56 = -50 -50 + u + -42u = 8u Combine like terms: u + -42u = -41u -50 + -41u = 8u Solving -50 + -41u = 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -50 + -41u + -8u = 8u + -8u Combine like terms: -41u + -8u = -49u -50 + -49u = 8u + -8u Combine like terms: 8u + -8u = 0 -50 + -49u = 0 Add '50' to each side of the equation. -50 + 50 + -49u = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -49u = 0 + 50 -49u = 0 + 50 Combine like terms: 0 + 50 = 50 -49u = 50 Divide each side by '-49'. u = -1.020408163 Simplifying u = -1.020408163
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