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Simplifying -1(5x + -1v) + 3(-1v + 5x) = 0 Reorder the terms: -1(-1v + 5x) + 3(-1v + 5x) = 0 (-1v * -1 + 5x * -1) + 3(-1v + 5x) = 0 (1v + -5x) + 3(-1v + 5x) = 0 1v + -5x + (-1v * 3 + 5x * 3) = 0 1v + -5x + (-3v + 15x) = 0 Reorder the terms: 1v + -3v + -5x + 15x = 0 Combine like terms: 1v + -3v = -2v -2v + -5x + 15x = 0 Combine like terms: -5x + 15x = 10x -2v + 10x = 0 Solving -2v + 10x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10x' to each side of the equation. -2v + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 -2v + 0 = 0 + -10x -2v = 0 + -10x Remove the zero: -2v = -10x Divide each side by '-2'. v = 5x Simplifying v = 5x
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