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Simplifying 6v + -7 = 3v + -1 Reorder the terms: -7 + 6v = 3v + -1 Reorder the terms: -7 + 6v = -1 + 3v Solving -7 + 6v = -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. -7 + 6v + -3v = -1 + 3v + -3v Combine like terms: 6v + -3v = 3v -7 + 3v = -1 + 3v + -3v Combine like terms: 3v + -3v = 0 -7 + 3v = -1 + 0 -7 + 3v = -1 Add '7' to each side of the equation. -7 + 7 + 3v = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 3v = -1 + 7 3v = -1 + 7 Combine like terms: -1 + 7 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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