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Simplifying 2v + -4v + 3 = 6v + -5 Reorder the terms: 3 + 2v + -4v = 6v + -5 Combine like terms: 2v + -4v = -2v 3 + -2v = 6v + -5 Reorder the terms: 3 + -2v = -5 + 6v Solving 3 + -2v = -5 + 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. 3 + -2v + -6v = -5 + 6v + -6v Combine like terms: -2v + -6v = -8v 3 + -8v = -5 + 6v + -6v Combine like terms: 6v + -6v = 0 3 + -8v = -5 + 0 3 + -8v = -5 Add '-3' to each side of the equation. 3 + -3 + -8v = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -8v = -5 + -3 -8v = -5 + -3 Combine like terms: -5 + -3 = -8 -8v = -8 Divide each side by '-8'. v = 1 Simplifying v = 1
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