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Simplifying -15 + 2v = 6v + -7 Reorder the terms: -15 + 2v = -7 + 6v Solving -15 + 2v = -7 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -15 + 2v + -6v = -7 + 6v + -6v Combine like terms: 2v + -6v = -4v -15 + -4v = -7 + 6v + -6v Combine like terms: 6v + -6v = 0 -15 + -4v = -7 + 0 -15 + -4v = -7 Add '15' to each side of the equation. -15 + 15 + -4v = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -4v = -7 + 15 -4v = -7 + 15 Combine like terms: -7 + 15 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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