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Simplifying v + -2 = -14 + 7v Reorder the terms: -2 + v = -14 + 7v Solving -2 + v = -14 + 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. -2 + v + -7v = -14 + 7v + -7v Combine like terms: v + -7v = -6v -2 + -6v = -14 + 7v + -7v Combine like terms: 7v + -7v = 0 -2 + -6v = -14 + 0 -2 + -6v = -14 Add '2' to each side of the equation. -2 + 2 + -6v = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -6v = -14 + 2 -6v = -14 + 2 Combine like terms: -14 + 2 = -12 -6v = -12 Divide each side by '-6'. v = 2 Simplifying v = 2
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