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Simplifying 4v + 2 = -3v + 16 Reorder the terms: 2 + 4v = -3v + 16 Reorder the terms: 2 + 4v = 16 + -3v Solving 2 + 4v = 16 + -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. 2 + 4v + 3v = 16 + -3v + 3v Combine like terms: 4v + 3v = 7v 2 + 7v = 16 + -3v + 3v Combine like terms: -3v + 3v = 0 2 + 7v = 16 + 0 2 + 7v = 16 Add '-2' to each side of the equation. 2 + -2 + 7v = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 7v = 16 + -2 7v = 16 + -2 Combine like terms: 16 + -2 = 14 7v = 14 Divide each side by '7'. v = 2 Simplifying v = 2
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