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Simplifying 4 + 2(2v + -2) = -2(9v + -5) + 7v Reorder the terms: 4 + 2(-2 + 2v) = -2(9v + -5) + 7v 4 + (-2 * 2 + 2v * 2) = -2(9v + -5) + 7v 4 + (-4 + 4v) = -2(9v + -5) + 7v Combine like terms: 4 + -4 = 0 0 + 4v = -2(9v + -5) + 7v 4v = -2(9v + -5) + 7v Reorder the terms: 4v = -2(-5 + 9v) + 7v 4v = (-5 * -2 + 9v * -2) + 7v 4v = (10 + -18v) + 7v Combine like terms: -18v + 7v = -11v 4v = 10 + -11v Solving 4v = 10 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 4v + 11v = 10 + -11v + 11v Combine like terms: 4v + 11v = 15v 15v = 10 + -11v + 11v Combine like terms: -11v + 11v = 0 15v = 10 + 0 15v = 10 Divide each side by '15'. v = 0.6666666667 Simplifying v = 0.6666666667
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