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Simplifying 3v + -7 = -4v + 7 Reorder the terms: -7 + 3v = -4v + 7 Reorder the terms: -7 + 3v = 7 + -4v Solving -7 + 3v = 7 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -7 + 3v + 4v = 7 + -4v + 4v Combine like terms: 3v + 4v = 7v -7 + 7v = 7 + -4v + 4v Combine like terms: -4v + 4v = 0 -7 + 7v = 7 + 0 -7 + 7v = 7 Add '7' to each side of the equation. -7 + 7 + 7v = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7v = 7 + 7 7v = 7 + 7 Combine like terms: 7 + 7 = 14 7v = 14 Divide each side by '7'. v = 2 Simplifying v = 2
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