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Simplifying 6 + 2(7v + -3) = -4(2v + -1) + 4v Reorder the terms: 6 + 2(-3 + 7v) = -4(2v + -1) + 4v 6 + (-3 * 2 + 7v * 2) = -4(2v + -1) + 4v 6 + (-6 + 14v) = -4(2v + -1) + 4v Combine like terms: 6 + -6 = 0 0 + 14v = -4(2v + -1) + 4v 14v = -4(2v + -1) + 4v Reorder the terms: 14v = -4(-1 + 2v) + 4v 14v = (-1 * -4 + 2v * -4) + 4v 14v = (4 + -8v) + 4v Combine like terms: -8v + 4v = -4v 14v = 4 + -4v Solving 14v = 4 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 14v + 4v = 4 + -4v + 4v Combine like terms: 14v + 4v = 18v 18v = 4 + -4v + 4v Combine like terms: -4v + 4v = 0 18v = 4 + 0 18v = 4 Divide each side by '18'. v = 0.2222222222 Simplifying v = 0.2222222222
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