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Simplifying 3(v + 3) + v = 2(v + -1) + 3 Reorder the terms: 3(3 + v) + v = 2(v + -1) + 3 (3 * 3 + v * 3) + v = 2(v + -1) + 3 (9 + 3v) + v = 2(v + -1) + 3 Combine like terms: 3v + v = 4v 9 + 4v = 2(v + -1) + 3 Reorder the terms: 9 + 4v = 2(-1 + v) + 3 9 + 4v = (-1 * 2 + v * 2) + 3 9 + 4v = (-2 + 2v) + 3 Reorder the terms: 9 + 4v = -2 + 3 + 2v Combine like terms: -2 + 3 = 1 9 + 4v = 1 + 2v Solving 9 + 4v = 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 + 4v + -2v = 1 + 2v + -2v Combine like terms: 4v + -2v = 2v 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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