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Simplifying -5vx + -4w + -9w + 9 = -7w + x + 5 Reorder the terms: 9 + -5vx + -4w + -9w = -7w + x + 5 Combine like terms: -4w + -9w = -13w 9 + -5vx + -13w = -7w + x + 5 Reorder the terms: 9 + -5vx + -13w = 5 + -7w + x Solving 9 + -5vx + -13w = 5 + -7w + x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -5vx + -9 + -13w = 5 + -7w + -9 + x Reorder the terms: 9 + -9 + -5vx + -13w = 5 + -7w + -9 + x Combine like terms: 9 + -9 = 0 0 + -5vx + -13w = 5 + -7w + -9 + x -5vx + -13w = 5 + -7w + -9 + x Reorder the terms: -5vx + -13w = 5 + -9 + -7w + x Combine like terms: 5 + -9 = -4 -5vx + -13w = -4 + -7w + x Add '13w' to each side of the equation. -5vx + -13w + 13w = -4 + -7w + 13w + x Combine like terms: -13w + 13w = 0 -5vx + 0 = -4 + -7w + 13w + x -5vx = -4 + -7w + 13w + x Combine like terms: -7w + 13w = 6w -5vx = -4 + 6w + x Divide each side by '-5x'. v = 0.8x-1 + -1.2wx-1 + -0.2 Simplifying v = 0.8x-1 + -1.2wx-1 + -0.2 Reorder the terms: v = -0.2 + -1.2wx-1 + 0.8x-1
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