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Simplifying (1 + -6u + 2x)(-8) = 0 Reorder the terms for easier multiplication: -8(1 + -6u + 2x) = 0 (1 * -8 + -6u * -8 + 2x * -8) = 0 (-8 + 48u + -16x) = 0 Solving -8 + 48u + -16x = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 48u + 8 + -16x = 0 + 8 Reorder the terms: -8 + 8 + 48u + -16x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 48u + -16x = 0 + 8 48u + -16x = 0 + 8 Combine like terms: 0 + 8 = 8 48u + -16x = 8 Add '16x' to each side of the equation. 48u + -16x + 16x = 8 + 16x Combine like terms: -16x + 16x = 0 48u + 0 = 8 + 16x 48u = 8 + 16x Divide each side by '48'. u = 0.1666666667 + 0.3333333333x Simplifying u = 0.1666666667 + 0.3333333333x
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