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Simplifying -4v + 4 = 3v + -8v + 10 Reorder the terms: 4 + -4v = 3v + -8v + 10 Reorder the terms: 4 + -4v = 10 + 3v + -8v Combine like terms: 3v + -8v = -5v 4 + -4v = 10 + -5v Solving 4 + -4v = 10 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 4 + -4v + 5v = 10 + -5v + 5v Combine like terms: -4v + 5v = 1v 4 + 1v = 10 + -5v + 5v Combine like terms: -5v + 5v = 0 4 + 1v = 10 + 0 4 + 1v = 10 Add '-4' to each side of the equation. 4 + -4 + 1v = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1v = 10 + -4 1v = 10 + -4 Combine like terms: 10 + -4 = 6 1v = 6 Divide each side by '1'. v = 6 Simplifying v = 6
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