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Simplifying 2 + 3(5v + -4) = -3(4v + -2) + 9v Reorder the terms: 2 + 3(-4 + 5v) = -3(4v + -2) + 9v 2 + (-4 * 3 + 5v * 3) = -3(4v + -2) + 9v 2 + (-12 + 15v) = -3(4v + -2) + 9v Combine like terms: 2 + -12 = -10 -10 + 15v = -3(4v + -2) + 9v Reorder the terms: -10 + 15v = -3(-2 + 4v) + 9v -10 + 15v = (-2 * -3 + 4v * -3) + 9v -10 + 15v = (6 + -12v) + 9v Combine like terms: -12v + 9v = -3v -10 + 15v = 6 + -3v Solving -10 + 15v = 6 + -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. -10 + 15v + 3v = 6 + -3v + 3v Combine like terms: 15v + 3v = 18v -10 + 18v = 6 + -3v + 3v Combine like terms: -3v + 3v = 0 -10 + 18v = 6 + 0 -10 + 18v = 6 Add '10' to each side of the equation. -10 + 10 + 18v = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 18v = 6 + 10 18v = 6 + 10 Combine like terms: 6 + 10 = 16 18v = 16 Divide each side by '18'. v = 0.8888888889 Simplifying v = 0.8888888889
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