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Simplifying 6v + 9 + -3(-5v + -1) = 3(v + -1) Reorder the terms: 6v + 9 + -3(-1 + -5v) = 3(v + -1) 6v + 9 + (-1 * -3 + -5v * -3) = 3(v + -1) 6v + 9 + (3 + 15v) = 3(v + -1) Reorder the terms: 9 + 3 + 6v + 15v = 3(v + -1) Combine like terms: 9 + 3 = 12 12 + 6v + 15v = 3(v + -1) Combine like terms: 6v + 15v = 21v 12 + 21v = 3(v + -1) Reorder the terms: 12 + 21v = 3(-1 + v) 12 + 21v = (-1 * 3 + v * 3) 12 + 21v = (-3 + 3v) Solving 12 + 21v = -3 + 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. 12 + 21v + -3v = -3 + 3v + -3v Combine like terms: 21v + -3v = 18v 12 + 18v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 12 + 18v = -3 + 0 12 + 18v = -3 Add '-12' to each side of the equation. 12 + -12 + 18v = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 18v = -3 + -12 18v = -3 + -12 Combine like terms: -3 + -12 = -15 18v = -15 Divide each side by '18'. v = -0.8333333333 Simplifying v = -0.8333333333
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