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Simplifying 6v + 3 + -3(-4v + -3) = 2(v + -3) Reorder the terms: 6v + 3 + -3(-3 + -4v) = 2(v + -3) 6v + 3 + (-3 * -3 + -4v * -3) = 2(v + -3) 6v + 3 + (9 + 12v) = 2(v + -3) Reorder the terms: 3 + 9 + 6v + 12v = 2(v + -3) Combine like terms: 3 + 9 = 12 12 + 6v + 12v = 2(v + -3) Combine like terms: 6v + 12v = 18v 12 + 18v = 2(v + -3) Reorder the terms: 12 + 18v = 2(-3 + v) 12 + 18v = (-3 * 2 + v * 2) 12 + 18v = (-6 + 2v) Solving 12 + 18v = -6 + 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. 12 + 18v + -2v = -6 + 2v + -2v Combine like terms: 18v + -2v = 16v 12 + 16v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + 16v = -6 + 0 12 + 16v = -6 Add '-12' to each side of the equation. 12 + -12 + 16v = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 16v = -6 + -12 16v = -6 + -12 Combine like terms: -6 + -12 = -18 16v = -18 Divide each side by '16'. v = -1.125 Simplifying v = -1.125
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