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Simplifying 2v + -41 = -3(v + -3) Reorder the terms: -41 + 2v = -3(v + -3) Reorder the terms: -41 + 2v = -3(-3 + v) -41 + 2v = (-3 * -3 + v * -3) -41 + 2v = (9 + -3v) Solving -41 + 2v = 9 + -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. -41 + 2v + 3v = 9 + -3v + 3v Combine like terms: 2v + 3v = 5v -41 + 5v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 -41 + 5v = 9 + 0 -41 + 5v = 9 Add '41' to each side of the equation. -41 + 41 + 5v = 9 + 41 Combine like terms: -41 + 41 = 0 0 + 5v = 9 + 41 5v = 9 + 41 Combine like terms: 9 + 41 = 50 5v = 50 Divide each side by '5'. v = 10 Simplifying v = 10
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