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Simplifying 6v + 3 = 9 + -3(2v + -2) Reorder the terms: 3 + 6v = 9 + -3(2v + -2) Reorder the terms: 3 + 6v = 9 + -3(-2 + 2v) 3 + 6v = 9 + (-2 * -3 + 2v * -3) 3 + 6v = 9 + (6 + -6v) Combine like terms: 9 + 6 = 15 3 + 6v = 15 + -6v Solving 3 + 6v = 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. 3 + 6v + 6v = 15 + -6v + 6v Combine like terms: 6v + 6v = 12v 3 + 12v = 15 + -6v + 6v Combine like terms: -6v + 6v = 0 3 + 12v = 15 + 0 3 + 12v = 15 Add '-3' to each side of the equation. 3 + -3 + 12v = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 12v = 15 + -3 12v = 15 + -3 Combine like terms: 15 + -3 = 12 12v = 12 Divide each side by '12'. v = 1 Simplifying v = 1
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