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Simplifying (2v + 4x) + -1(3v + -3x) = 0 Remove parenthesis around (2v + 4x) 2v + 4x + -1(3v + -3x) = 0 2v + 4x + (3v * -1 + -3x * -1) = 0 2v + 4x + (-3v + 3x) = 0 Reorder the terms: 2v + -3v + 4x + 3x = 0 Combine like terms: 2v + -3v = -1v -1v + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x -1v + 7x = 0 Solving -1v + 7x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7x' to each side of the equation. -1v + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 -1v + 0 = 0 + -7x -1v = 0 + -7x Remove the zero: -1v = -7x Divide each side by '-1'. v = 7x Simplifying v = 7x
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