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Simplifying 7v + 4v = 12 + -4v + 3 Combine like terms: 7v + 4v = 11v 11v = 12 + -4v + 3 Reorder the terms: 11v = 12 + 3 + -4v Combine like terms: 12 + 3 = 15 11v = 15 + -4v Solving 11v = 15 + -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. 11v + 4v = 15 + -4v + 4v Combine like terms: 11v + 4v = 15v 15v = 15 + -4v + 4v Combine like terms: -4v + 4v = 0 15v = 15 + 0 15v = 15 Divide each side by '15'. v = 1 Simplifying v = 1
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