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Simplifying -3 + 4v + 8 + -3 = 3v + 4 + -5 Reorder the terms: -3 + 8 + -3 + 4v = 3v + 4 + -5 Combine like terms: -3 + 8 = 5 5 + -3 + 4v = 3v + 4 + -5 Combine like terms: 5 + -3 = 2 2 + 4v = 3v + 4 + -5 Reorder the terms: 2 + 4v = 4 + -5 + 3v Combine like terms: 4 + -5 = -1 2 + 4v = -1 + 3v Solving 2 + 4v = -1 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 2 + 4v + -3v = -1 + 3v + -3v Combine like terms: 4v + -3v = 1v 2 + 1v = -1 + 3v + -3v Combine like terms: 3v + -3v = 0 2 + 1v = -1 + 0 2 + 1v = -1 Add '-2' to each side of the equation. 2 + -2 + 1v = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 1v = -1 + -2 1v = -1 + -2 Combine like terms: -1 + -2 = -3 1v = -3 Divide each side by '1'. v = -3 Simplifying v = -3
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