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Simplifying -2(7u + -6x) + 93 + -10u = 6k + -8 + 7x (7u * -2 + -6x * -2) + 93 + -10u = 6k + -8 + 7x (-14u + 12x) + 93 + -10u = 6k + -8 + 7x Reorder the terms: 93 + -14u + -10u + 12x = 6k + -8 + 7x Combine like terms: -14u + -10u = -24u 93 + -24u + 12x = 6k + -8 + 7x Reorder the terms: 93 + -24u + 12x = -8 + 6k + 7x Solving 93 + -24u + 12x = -8 + 6k + 7x Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-93' to each side of the equation. 93 + -24u + -93 + 12x = -8 + 6k + -93 + 7x Reorder the terms: 93 + -93 + -24u + 12x = -8 + 6k + -93 + 7x Combine like terms: 93 + -93 = 0 0 + -24u + 12x = -8 + 6k + -93 + 7x -24u + 12x = -8 + 6k + -93 + 7x Reorder the terms: -24u + 12x = -8 + -93 + 6k + 7x Combine like terms: -8 + -93 = -101 -24u + 12x = -101 + 6k + 7x Add '-12x' to each side of the equation. -24u + 12x + -12x = -101 + 6k + 7x + -12x Combine like terms: 12x + -12x = 0 -24u + 0 = -101 + 6k + 7x + -12x -24u = -101 + 6k + 7x + -12x Combine like terms: 7x + -12x = -5x -24u = -101 + 6k + -5x Divide each side by '-24'. u = 4.208333333 + -0.25k + 0.2083333333x Simplifying u = 4.208333333 + -0.25k + 0.2083333333x
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