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Simplifying 2v + -7v + -15 = 1 + -1v Reorder the terms: -15 + 2v + -7v = 1 + -1v Combine like terms: 2v + -7v = -5v -15 + -5v = 1 + -1v Solving -15 + -5v = 1 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -15 + -5v + v = 1 + -1v + v Combine like terms: -5v + v = -4v -15 + -4v = 1 + -1v + v Combine like terms: -1v + v = 0 -15 + -4v = 1 + 0 -15 + -4v = 1 Add '15' to each side of the equation. -15 + 15 + -4v = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -4v = 1 + 15 -4v = 1 + 15 Combine like terms: 1 + 15 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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