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Simplifying 7 + 2(5u + -8) = -2(8u + -3) + 8u Reorder the terms: 7 + 2(-8 + 5u) = -2(8u + -3) + 8u 7 + (-8 * 2 + 5u * 2) = -2(8u + -3) + 8u 7 + (-16 + 10u) = -2(8u + -3) + 8u Combine like terms: 7 + -16 = -9 -9 + 10u = -2(8u + -3) + 8u Reorder the terms: -9 + 10u = -2(-3 + 8u) + 8u -9 + 10u = (-3 * -2 + 8u * -2) + 8u -9 + 10u = (6 + -16u) + 8u Combine like terms: -16u + 8u = -8u -9 + 10u = 6 + -8u Solving -9 + 10u = 6 + -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. -9 + 10u + 8u = 6 + -8u + 8u Combine like terms: 10u + 8u = 18u -9 + 18u = 6 + -8u + 8u Combine like terms: -8u + 8u = 0 -9 + 18u = 6 + 0 -9 + 18u = 6 Add '9' to each side of the equation. -9 + 9 + 18u = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 18u = 6 + 9 18u = 6 + 9 Combine like terms: 6 + 9 = 15 18u = 15 Divide each side by '18'. u = 0.8333333333 Simplifying u = 0.8333333333
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