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Simplifying 7v + -1 = -15 + 5v Reorder the terms: -1 + 7v = -15 + 5v Solving -1 + 7v = -15 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -1 + 7v + -5v = -15 + 5v + -5v Combine like terms: 7v + -5v = 2v -1 + 2v = -15 + 5v + -5v Combine like terms: 5v + -5v = 0 -1 + 2v = -15 + 0 -1 + 2v = -15 Add '1' to each side of the equation. -1 + 1 + 2v = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 2v = -15 + 1 2v = -15 + 1 Combine like terms: -15 + 1 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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