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Simplifying 7(u + 2) = -2(5u + -4) + 8u Reorder the terms: 7(2 + u) = -2(5u + -4) + 8u (2 * 7 + u * 7) = -2(5u + -4) + 8u (14 + 7u) = -2(5u + -4) + 8u Reorder the terms: 14 + 7u = -2(-4 + 5u) + 8u 14 + 7u = (-4 * -2 + 5u * -2) + 8u 14 + 7u = (8 + -10u) + 8u Combine like terms: -10u + 8u = -2u 14 + 7u = 8 + -2u Solving 14 + 7u = 8 + -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. 14 + 7u + 2u = 8 + -2u + 2u Combine like terms: 7u + 2u = 9u 14 + 9u = 8 + -2u + 2u Combine like terms: -2u + 2u = 0 14 + 9u = 8 + 0 14 + 9u = 8 Add '-14' to each side of the equation. 14 + -14 + 9u = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 9u = 8 + -14 9u = 8 + -14 Combine like terms: 8 + -14 = -6 9u = -6 Divide each side by '9'. u = -0.6666666667 Simplifying u = -0.6666666667
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