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Simplifying 4v + 7 = 3v + 10 Reorder the terms: 7 + 4v = 3v + 10 Reorder the terms: 7 + 4v = 10 + 3v Solving 7 + 4v = 10 + 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. 7 + 4v + -3v = 10 + 3v + -3v Combine like terms: 4v + -3v = 1v 7 + 1v = 10 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + 1v = 10 + 0 7 + 1v = 10 Add '-7' to each side of the equation. 7 + -7 + 1v = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1v = 10 + -7 1v = 10 + -7 Combine like terms: 10 + -7 = 3 1v = 3 Divide each side by '1'. v = 3 Simplifying v = 3
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