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Simplifying 4v + 3v + 10 = 5v + 16 Reorder the terms: 10 + 4v + 3v = 5v + 16 Combine like terms: 4v + 3v = 7v 10 + 7v = 5v + 16 Reorder the terms: 10 + 7v = 16 + 5v Solving 10 + 7v = 16 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 10 + 7v + -5v = 16 + 5v + -5v Combine like terms: 7v + -5v = 2v 10 + 2v = 16 + 5v + -5v Combine like terms: 5v + -5v = 0 10 + 2v = 16 + 0 10 + 2v = 16 Add '-10' to each side of the equation. 10 + -10 + 2v = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = 16 + -10 2v = 16 + -10 Combine like terms: 16 + -10 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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