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Simplifying 6v + -14 = 3v + 7 Reorder the terms: -14 + 6v = 3v + 7 Reorder the terms: -14 + 6v = 7 + 3v Solving -14 + 6v = 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. -14 + 6v + -3v = 7 + 3v + -3v Combine like terms: 6v + -3v = 3v -14 + 3v = 7 + 3v + -3v Combine like terms: 3v + -3v = 0 -14 + 3v = 7 + 0 -14 + 3v = 7 Add '14' to each side of the equation. -14 + 14 + 3v = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 3v = 7 + 14 3v = 7 + 14 Combine like terms: 7 + 14 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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