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Simplifying -9 + -4v + -1 + v = 2v + 5 + -1v + -15 Reorder the terms: -9 + -1 + -4v + v = 2v + 5 + -1v + -15 Combine like terms: -9 + -1 = -10 -10 + -4v + v = 2v + 5 + -1v + -15 Combine like terms: -4v + v = -3v -10 + -3v = 2v + 5 + -1v + -15 Reorder the terms: -10 + -3v = 5 + -15 + 2v + -1v Combine like terms: 5 + -15 = -10 -10 + -3v = -10 + 2v + -1v Combine like terms: 2v + -1v = 1v -10 + -3v = -10 + 1v Add '10' to each side of the equation. -10 + 10 + -3v = -10 + 10 + 1v Combine like terms: -10 + 10 = 0 0 + -3v = -10 + 10 + 1v -3v = -10 + 10 + 1v Combine like terms: -10 + 10 = 0 -3v = 0 + 1v -3v = 1v Solving -3v = 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -3v + -1v = 1v + -1v Combine like terms: -3v + -1v = -4v -4v = 1v + -1v Combine like terms: 1v + -1v = 0 -4v = 0 Divide each side by '-4'. v = 0 Simplifying v = 0
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