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Simplifying -6vwx + 5w + 8x + 3 = 7w + 5x + -7 Reorder the terms: 3 + -6vwx + 5w + 8x = 7w + 5x + -7 Reorder the terms: 3 + -6vwx + 5w + 8x = -7 + 7w + 5x Solving 3 + -6vwx + 5w + 8x = -7 + 7w + 5x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -6vwx + 5w + -3 + 8x = -7 + 7w + -3 + 5x Reorder the terms: 3 + -3 + -6vwx + 5w + 8x = -7 + 7w + -3 + 5x Combine like terms: 3 + -3 = 0 0 + -6vwx + 5w + 8x = -7 + 7w + -3 + 5x -6vwx + 5w + 8x = -7 + 7w + -3 + 5x Reorder the terms: -6vwx + 5w + 8x = -7 + -3 + 7w + 5x Combine like terms: -7 + -3 = -10 -6vwx + 5w + 8x = -10 + 7w + 5x Add '-5w' to each side of the equation. -6vwx + 5w + -5w + 8x = -10 + 7w + -5w + 5x Combine like terms: 5w + -5w = 0 -6vwx + 0 + 8x = -10 + 7w + -5w + 5x -6vwx + 8x = -10 + 7w + -5w + 5x Combine like terms: 7w + -5w = 2w -6vwx + 8x = -10 + 2w + 5x Add '-8x' to each side of the equation. -6vwx + 8x + -8x = -10 + 2w + 5x + -8x Combine like terms: 8x + -8x = 0 -6vwx + 0 = -10 + 2w + 5x + -8x -6vwx = -10 + 2w + 5x + -8x Combine like terms: 5x + -8x = -3x -6vwx = -10 + 2w + -3x Divide each side by '-6wx'. v = 1.666666667w-1x-1 + -0.3333333333x-1 + 0.5w-1 Simplifying v = 1.666666667w-1x-1 + -0.3333333333x-1 + 0.5w-1 Reorder the terms: v = 0.5w-1 + 1.666666667w-1x-1 + -0.3333333333x-1
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