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