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Simplifying 41 + -3v = 4v + 6 Reorder the terms: 41 + -3v = 6 + 4v Solving 41 + -3v = 6 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 41 + -3v + -4v = 6 + 4v + -4v Combine like terms: -3v + -4v = -7v 41 + -7v = 6 + 4v + -4v Combine like terms: 4v + -4v = 0 41 + -7v = 6 + 0 41 + -7v = 6 Add '-41' to each side of the equation. 41 + -41 + -7v = 6 + -41 Combine like terms: 41 + -41 = 0 0 + -7v = 6 + -41 -7v = 6 + -41 Combine like terms: 6 + -41 = -35 -7v = -35 Divide each side by '-7'. v = 5 Simplifying v = 5
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