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Simplifying 6(65.79 + 54u) = -9(-43.9u + -47.81) (65.79 * 6 + 54u * 6) = -9(-43.9u + -47.81) (394.74 + 324u) = -9(-43.9u + -47.81) Reorder the terms: 394.74 + 324u = -9(-47.81 + -43.9u) 394.74 + 324u = (-47.81 * -9 + -43.9u * -9) 394.74 + 324u = (430.29 + 395.1u) Solving 394.74 + 324u = 430.29 + 395.1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-395.1u' to each side of the equation. 394.74 + 324u + -395.1u = 430.29 + 395.1u + -395.1u Combine like terms: 324u + -395.1u = -71.1u 394.74 + -71.1u = 430.29 + 395.1u + -395.1u Combine like terms: 395.1u + -395.1u = 0.0 394.74 + -71.1u = 430.29 + 0.0 394.74 + -71.1u = 430.29 Add '-394.74' to each side of the equation. 394.74 + -394.74 + -71.1u = 430.29 + -394.74 Combine like terms: 394.74 + -394.74 = 0.00 0.00 + -71.1u = 430.29 + -394.74 -71.1u = 430.29 + -394.74 Combine like terms: 430.29 + -394.74 = 35.55 -71.1u = 35.55 Divide each side by '-71.1'. u = -0.5 Simplifying u = -0.5
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