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Simplifying -3v + 3(v + 3) = 1 + -2v Reorder the terms: -3v + 3(3 + v) = 1 + -2v -3v + (3 * 3 + v * 3) = 1 + -2v -3v + (9 + 3v) = 1 + -2v Reorder the terms: 9 + -3v + 3v = 1 + -2v Combine like terms: -3v + 3v = 0 9 + 0 = 1 + -2v 9 = 1 + -2v Solving 9 = 1 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 9 + 2v = 1 + -2v + 2v Combine like terms: -2v + 2v = 0 9 + 2v = 1 + 0 9 + 2v = 1 Add '-9' to each side of the equation. 9 + -9 + 2v = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 1 + -9 2v = 1 + -9 Combine like terms: 1 + -9 = -8 2v = -8 Divide each side by '2'. v = -4 Simplifying v = -4
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