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Simplifying 3 + 4(2v + -2) = -2(2v + -5) + 3v Reorder the terms: 3 + 4(-2 + 2v) = -2(2v + -5) + 3v 3 + (-2 * 4 + 2v * 4) = -2(2v + -5) + 3v 3 + (-8 + 8v) = -2(2v + -5) + 3v Combine like terms: 3 + -8 = -5 -5 + 8v = -2(2v + -5) + 3v Reorder the terms: -5 + 8v = -2(-5 + 2v) + 3v -5 + 8v = (-5 * -2 + 2v * -2) + 3v -5 + 8v = (10 + -4v) + 3v Combine like terms: -4v + 3v = -1v -5 + 8v = 10 + -1v Solving -5 + 8v = 10 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -5 + 8v + v = 10 + -1v + v Combine like terms: 8v + v = 9v -5 + 9v = 10 + -1v + v Combine like terms: -1v + v = 0 -5 + 9v = 10 + 0 -5 + 9v = 10 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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