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Simplifying 1 + 3(3v + -2) = -2(2v + -5) + 4v Reorder the terms: 1 + 3(-2 + 3v) = -2(2v + -5) + 4v 1 + (-2 * 3 + 3v * 3) = -2(2v + -5) + 4v 1 + (-6 + 9v) = -2(2v + -5) + 4v Combine like terms: 1 + -6 = -5 -5 + 9v = -2(2v + -5) + 4v Reorder the terms: -5 + 9v = -2(-5 + 2v) + 4v -5 + 9v = (-5 * -2 + 2v * -2) + 4v -5 + 9v = (10 + -4v) + 4v Combine like terms: -4v + 4v = 0 -5 + 9v = 10 + 0 -5 + 9v = 10 Solving -5 + 9v = 10 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9v = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 9v = 10 + 5 9v = 10 + 5 Combine like terms: 10 + 5 = 15 9v = 15 Divide each side by '9'. v = 1.666666667 Simplifying v = 1.666666667
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