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Simplifying 2(u + 7) = -3(8u + -4) + 8u Reorder the terms: 2(7 + u) = -3(8u + -4) + 8u (7 * 2 + u * 2) = -3(8u + -4) + 8u (14 + 2u) = -3(8u + -4) + 8u Reorder the terms: 14 + 2u = -3(-4 + 8u) + 8u 14 + 2u = (-4 * -3 + 8u * -3) + 8u 14 + 2u = (12 + -24u) + 8u Combine like terms: -24u + 8u = -16u 14 + 2u = 12 + -16u Solving 14 + 2u = 12 + -16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '16u' to each side of the equation. 14 + 2u + 16u = 12 + -16u + 16u Combine like terms: 2u + 16u = 18u 14 + 18u = 12 + -16u + 16u Combine like terms: -16u + 16u = 0 14 + 18u = 12 + 0 14 + 18u = 12 Add '-14' to each side of the equation. 14 + -14 + 18u = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 18u = 12 + -14 18u = 12 + -14 Combine like terms: 12 + -14 = -2 18u = -2 Divide each side by '18'. u = -0.1111111111 Simplifying u = -0.1111111111
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