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Simplifying 8 + 2(5u + -9) = -2(5u + -4) + 6u Reorder the terms: 8 + 2(-9 + 5u) = -2(5u + -4) + 6u 8 + (-9 * 2 + 5u * 2) = -2(5u + -4) + 6u 8 + (-18 + 10u) = -2(5u + -4) + 6u Combine like terms: 8 + -18 = -10 -10 + 10u = -2(5u + -4) + 6u Reorder the terms: -10 + 10u = -2(-4 + 5u) + 6u -10 + 10u = (-4 * -2 + 5u * -2) + 6u -10 + 10u = (8 + -10u) + 6u Combine like terms: -10u + 6u = -4u -10 + 10u = 8 + -4u Solving -10 + 10u = 8 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -10 + 10u + 4u = 8 + -4u + 4u Combine like terms: 10u + 4u = 14u -10 + 14u = 8 + -4u + 4u Combine like terms: -4u + 4u = 0 -10 + 14u = 8 + 0 -10 + 14u = 8 Add '10' to each side of the equation. -10 + 10 + 14u = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 14u = 8 + 10 14u = 8 + 10 Combine like terms: 8 + 10 = 18 14u = 18 Divide each side by '14'. u = 1.285714286 Simplifying u = 1.285714286
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