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Simplifying -3v + 8 = v + -2 + 6 Reorder the terms: 8 + -3v = v + -2 + 6 Reorder the terms: 8 + -3v = -2 + 6 + v Combine like terms: -2 + 6 = 4 8 + -3v = 4 + v Solving 8 + -3v = 4 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 8 + -3v + -1v = 4 + v + -1v Combine like terms: -3v + -1v = -4v 8 + -4v = 4 + v + -1v Combine like terms: v + -1v = 0 8 + -4v = 4 + 0 8 + -4v = 4 Add '-8' to each side of the equation. 8 + -8 + -4v = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = 4 + -8 -4v = 4 + -8 Combine like terms: 4 + -8 = -4 -4v = -4 Divide each side by '-4'. v = 1 Simplifying v = 1
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