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Simplifying 4v + 10 = 3v + 30 Reorder the terms: 10 + 4v = 3v + 30 Reorder the terms: 10 + 4v = 30 + 3v Solving 10 + 4v = 30 + 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. 10 + 4v + -3v = 30 + 3v + -3v Combine like terms: 4v + -3v = 1v 10 + 1v = 30 + 3v + -3v Combine like terms: 3v + -3v = 0 10 + 1v = 30 + 0 10 + 1v = 30 Add '-10' to each side of the equation. 10 + -10 + 1v = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 1v = 30 + -10 1v = 30 + -10 Combine like terms: 30 + -10 = 20 1v = 20 Divide each side by '1'. v = 20 Simplifying v = 20
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