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Simplifying -15 + 2v = 1 + 7v + -6 Reorder the terms: -15 + 2v = 1 + -6 + 7v Combine like terms: 1 + -6 = -5 -15 + 2v = -5 + 7v Solving -15 + 2v = -5 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -15 + 2v + -7v = -5 + 7v + -7v Combine like terms: 2v + -7v = -5v -15 + -5v = -5 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + -5v = -5 + 0 -15 + -5v = -5 Add '15' to each side of the equation. -15 + 15 + -5v = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -5v = -5 + 15 -5v = -5 + 15 Combine like terms: -5 + 15 = 10 -5v = 10 Divide each side by '-5'. v = -2 Simplifying v = -2
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