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Simplifying 6v + 14 = -7 + -1v Reorder the terms: 14 + 6v = -7 + -1v Solving 14 + 6v = -7 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 14 + 6v + v = -7 + -1v + v Combine like terms: 6v + v = 7v 14 + 7v = -7 + -1v + v Combine like terms: -1v + v = 0 14 + 7v = -7 + 0 14 + 7v = -7 Add '-14' to each side of the equation. 14 + -14 + 7v = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 7v = -7 + -14 7v = -7 + -14 Combine like terms: -7 + -14 = -21 7v = -21 Divide each side by '7'. v = -3 Simplifying v = -3
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