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Simplifying 1 + 2(2v + -3) = -5(4v + -2) + 6v Reorder the terms: 1 + 2(-3 + 2v) = -5(4v + -2) + 6v 1 + (-3 * 2 + 2v * 2) = -5(4v + -2) + 6v 1 + (-6 + 4v) = -5(4v + -2) + 6v Combine like terms: 1 + -6 = -5 -5 + 4v = -5(4v + -2) + 6v Reorder the terms: -5 + 4v = -5(-2 + 4v) + 6v -5 + 4v = (-2 * -5 + 4v * -5) + 6v -5 + 4v = (10 + -20v) + 6v Combine like terms: -20v + 6v = -14v -5 + 4v = 10 + -14v Solving -5 + 4v = 10 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -5 + 4v + 14v = 10 + -14v + 14v Combine like terms: 4v + 14v = 18v -5 + 18v = 10 + -14v + 14v Combine like terms: -14v + 14v = 0 -5 + 18v = 10 + 0 -5 + 18v = 10 Add '5' to each side of the equation. -5 + 5 + 18v = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 18v = 10 + 5 18v = 10 + 5 Combine like terms: 10 + 5 = 15 18v = 15 Divide each side by '18'. v = 0.8333333333 Simplifying v = 0.8333333333
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