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Simplifying 6 + 3(4v + -2) = -4(2v + -3) + 5v Reorder the terms: 6 + 3(-2 + 4v) = -4(2v + -3) + 5v 6 + (-2 * 3 + 4v * 3) = -4(2v + -3) + 5v 6 + (-6 + 12v) = -4(2v + -3) + 5v Combine like terms: 6 + -6 = 0 0 + 12v = -4(2v + -3) + 5v 12v = -4(2v + -3) + 5v Reorder the terms: 12v = -4(-3 + 2v) + 5v 12v = (-3 * -4 + 2v * -4) + 5v 12v = (12 + -8v) + 5v Combine like terms: -8v + 5v = -3v 12v = 12 + -3v Solving 12v = 12 + -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. 12v + 3v = 12 + -3v + 3v Combine like terms: 12v + 3v = 15v 15v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 15v = 12 + 0 15v = 12 Divide each side by '15'. v = 0.8 Simplifying v = 0.8
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