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Simplifying -3 + 5v = 3(v + 3) Reorder the terms: -3 + 5v = 3(3 + v) -3 + 5v = (3 * 3 + v * 3) -3 + 5v = (9 + 3v) Solving -3 + 5v = 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. -3 + 5v + -3v = 9 + 3v + -3v Combine like terms: 5v + -3v = 2v -3 + 2v = 9 + 3v + -3v Combine like terms: 3v + -3v = 0 -3 + 2v = 9 + 0 -3 + 2v = 9 Add '3' to each side of the equation. -3 + 3 + 2v = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2v = 9 + 3 2v = 9 + 3 Combine like terms: 9 + 3 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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