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Simplifying 2(6x + -1) + -3u = 9u + 8 Reorder the terms: 2(-1 + 6x) + -3u = 9u + 8 (-1 * 2 + 6x * 2) + -3u = 9u + 8 (-2 + 12x) + -3u = 9u + 8 Reorder the terms: -2 + -3u + 12x = 9u + 8 Reorder the terms: -2 + -3u + 12x = 8 + 9u Solving -2 + -3u + 12x = 8 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -2 + -3u + -9u + 12x = 8 + 9u + -9u Combine like terms: -3u + -9u = -12u -2 + -12u + 12x = 8 + 9u + -9u Combine like terms: 9u + -9u = 0 -2 + -12u + 12x = 8 + 0 -2 + -12u + 12x = 8 Add '2' to each side of the equation. -2 + -12u + 2 + 12x = 8 + 2 Reorder the terms: -2 + 2 + -12u + 12x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -12u + 12x = 8 + 2 -12u + 12x = 8 + 2 Combine like terms: 8 + 2 = 10 -12u + 12x = 10 Add '-12x' to each side of the equation. -12u + 12x + -12x = 10 + -12x Combine like terms: 12x + -12x = 0 -12u + 0 = 10 + -12x -12u = 10 + -12x Divide each side by '-12'. u = -0.8333333333 + x Simplifying u = -0.8333333333 + x
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