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Simplifying -14 = v + 4 + -7v Reorder the terms: -14 = 4 + v + -7v Combine like terms: v + -7v = -6v -14 = 4 + -6v Solving -14 = 4 + -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. -14 + 6v = 4 + -6v + 6v Combine like terms: -6v + 6v = 0 -14 + 6v = 4 + 0 -14 + 6v = 4 Add '14' to each side of the equation. -14 + 14 + 6v = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6v = 4 + 14 6v = 4 + 14 Combine like terms: 4 + 14 = 18 6v = 18 Divide each side by '6'. v = 3 Simplifying v = 3
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