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Simplifying 41 = 6v + -7 Reorder the terms: 41 = -7 + 6v Solving 41 = -7 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 41 + -6v = -7 + 6v + -6v Combine like terms: 6v + -6v = 0 41 + -6v = -7 + 0 41 + -6v = -7 Add '-41' to each side of the equation. 41 + -41 + -6v = -7 + -41 Combine like terms: 41 + -41 = 0 0 + -6v = -7 + -41 -6v = -7 + -41 Combine like terms: -7 + -41 = -48 -6v = -48 Divide each side by '-6'. v = 8 Simplifying v = 8
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