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Simplifying 3v + 4 = 7v + -4 Reorder the terms: 4 + 3v = 7v + -4 Reorder the terms: 4 + 3v = -4 + 7v Solving 4 + 3v = -4 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 4 + 3v + -7v = -4 + 7v + -7v Combine like terms: 3v + -7v = -4v 4 + -4v = -4 + 7v + -7v Combine like terms: 7v + -7v = 0 4 + -4v = -4 + 0 4 + -4v = -4 Add '-4' to each side of the equation. 4 + -4 + -4v = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -4v = -4 + -4 -4v = -4 + -4 Combine like terms: -4 + -4 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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