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