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Simplifying 7v + 2 = 1 + 6v + -4 Reorder the terms: 2 + 7v = 1 + 6v + -4 Reorder the terms: 2 + 7v = 1 + -4 + 6v Combine like terms: 1 + -4 = -3 2 + 7v = -3 + 6v Solving 2 + 7v = -3 + 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. 2 + 7v + -6v = -3 + 6v + -6v Combine like terms: 7v + -6v = 1v 2 + 1v = -3 + 6v + -6v Combine like terms: 6v + -6v = 0 2 + 1v = -3 + 0 2 + 1v = -3 Add '-2' to each side of the equation. 2 + -2 + 1v = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1v = -3 + -2 1v = -3 + -2 Combine like terms: -3 + -2 = -5 1v = -5 Divide each side by '1'. v = -5 Simplifying v = -5
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