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Simplifying (6 + -4x + 3u)(-9) = 0 Reorder the terms: (6 + 3u + -4x)(-9) = 0 Reorder the terms for easier multiplication: -9(6 + 3u + -4x) = 0 (6 * -9 + 3u * -9 + -4x * -9) = 0 (-54 + -27u + 36x) = 0 Solving -54 + -27u + 36x = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '54' to each side of the equation. -54 + -27u + 54 + 36x = 0 + 54 Reorder the terms: -54 + 54 + -27u + 36x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -27u + 36x = 0 + 54 -27u + 36x = 0 + 54 Combine like terms: 0 + 54 = 54 -27u + 36x = 54 Add '-36x' to each side of the equation. -27u + 36x + -36x = 54 + -36x Combine like terms: 36x + -36x = 0 -27u + 0 = 54 + -36x -27u = 54 + -36x Divide each side by '-27'. u = -2 + 1.333333333x Simplifying u = -2 + 1.333333333x
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