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Simplifying 4v + 2 = 7v + -4 Reorder the terms: 2 + 4v = 7v + -4 Reorder the terms: 2 + 4v = -4 + 7v Solving 2 + 4v = -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. 2 + 4v + -7v = -4 + 7v + -7v Combine like terms: 4v + -7v = -3v 2 + -3v = -4 + 7v + -7v Combine like terms: 7v + -7v = 0 2 + -3v = -4 + 0 2 + -3v = -4 Add '-2' to each side of the equation. 2 + -2 + -3v = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = -4 + -2 -3v = -4 + -2 Combine like terms: -4 + -2 = -6 -3v = -6 Divide each side by '-3'. v = 2 Simplifying v = 2
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