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Simplifying 3v + 5 = 6v + -7 Reorder the terms: 5 + 3v = 6v + -7 Reorder the terms: 5 + 3v = -7 + 6v Solving 5 + 3v = -7 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 5 + 3v + -6v = -7 + 6v + -6v Combine like terms: 3v + -6v = -3v 5 + -3v = -7 + 6v + -6v Combine like terms: 6v + -6v = 0 5 + -3v = -7 + 0 5 + -3v = -7 Add '-5' to each side of the equation. 5 + -5 + -3v = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = -7 + -5 -3v = -7 + -5 Combine like terms: -7 + -5 = -12 -3v = -12 Divide each side by '-3'. v = 4 Simplifying v = 4
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