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Simplifying 4v + 7 = 2v + 15 Reorder the terms: 7 + 4v = 2v + 15 Reorder the terms: 7 + 4v = 15 + 2v Solving 7 + 4v = 15 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 7 + 4v + -2v = 15 + 2v + -2v Combine like terms: 4v + -2v = 2v 7 + 2v = 15 + 2v + -2v Combine like terms: 2v + -2v = 0 7 + 2v = 15 + 0 7 + 2v = 15 Add '-7' to each side of the equation. 7 + -7 + 2v = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 15 + -7 2v = 15 + -7 Combine like terms: 15 + -7 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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