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Simplifying 4v + 6 = 41 + -3v Reorder the terms: 6 + 4v = 41 + -3v Solving 6 + 4v = 41 + -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. 6 + 4v + 3v = 41 + -3v + 3v Combine like terms: 4v + 3v = 7v 6 + 7v = 41 + -3v + 3v Combine like terms: -3v + 3v = 0 6 + 7v = 41 + 0 6 + 7v = 41 Add '-6' to each side of the equation. 6 + -6 + 7v = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = 41 + -6 7v = 41 + -6 Combine like terms: 41 + -6 = 35 7v = 35 Divide each side by '7'. v = 5 Simplifying v = 5
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