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Simplifying 6v + 6 + -3(-3v + -1) = 3(v + -2) Reorder the terms: 6v + 6 + -3(-1 + -3v) = 3(v + -2) 6v + 6 + (-1 * -3 + -3v * -3) = 3(v + -2) 6v + 6 + (3 + 9v) = 3(v + -2) Reorder the terms: 6 + 3 + 6v + 9v = 3(v + -2) Combine like terms: 6 + 3 = 9 9 + 6v + 9v = 3(v + -2) Combine like terms: 6v + 9v = 15v 9 + 15v = 3(v + -2) Reorder the terms: 9 + 15v = 3(-2 + v) 9 + 15v = (-2 * 3 + v * 3) 9 + 15v = (-6 + 3v) Solving 9 + 15v = -6 + 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. 9 + 15v + -3v = -6 + 3v + -3v Combine like terms: 15v + -3v = 12v 9 + 12v = -6 + 3v + -3v Combine like terms: 3v + -3v = 0 9 + 12v = -6 + 0 9 + 12v = -6 Add '-9' to each side of the equation. 9 + -9 + 12v = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 12v = -6 + -9 12v = -6 + -9 Combine like terms: -6 + -9 = -15 12v = -15 Divide each side by '12'. v = -1.25 Simplifying v = -1.25
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