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