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Simplifying 3v + 6 = 9 + -3(2v + -2) Reorder the terms: 6 + 3v = 9 + -3(2v + -2) Reorder the terms: 6 + 3v = 9 + -3(-2 + 2v) 6 + 3v = 9 + (-2 * -3 + 2v * -3) 6 + 3v = 9 + (6 + -6v) Combine like terms: 9 + 6 = 15 6 + 3v = 15 + -6v Solving 6 + 3v = 15 + -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. 6 + 3v + 6v = 15 + -6v + 6v Combine like terms: 3v + 6v = 9v 6 + 9v = 15 + -6v + 6v Combine like terms: -6v + 6v = 0 6 + 9v = 15 + 0 6 + 9v = 15 Add '-6' to each side of the equation. 6 + -6 + 9v = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 9v = 15 + -6 9v = 15 + -6 Combine like terms: 15 + -6 = 9 9v = 9 Divide each side by '9'. v = 1 Simplifying v = 1
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