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Simplifying 2(v + -4) + -6 = -4(-4v + 2) + -5v Reorder the terms: 2(-4 + v) + -6 = -4(-4v + 2) + -5v (-4 * 2 + v * 2) + -6 = -4(-4v + 2) + -5v (-8 + 2v) + -6 = -4(-4v + 2) + -5v Reorder the terms: -8 + -6 + 2v = -4(-4v + 2) + -5v Combine like terms: -8 + -6 = -14 -14 + 2v = -4(-4v + 2) + -5v Reorder the terms: -14 + 2v = -4(2 + -4v) + -5v -14 + 2v = (2 * -4 + -4v * -4) + -5v -14 + 2v = (-8 + 16v) + -5v Combine like terms: 16v + -5v = 11v -14 + 2v = -8 + 11v Solving -14 + 2v = -8 + 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. -14 + 2v + -11v = -8 + 11v + -11v Combine like terms: 2v + -11v = -9v -14 + -9v = -8 + 11v + -11v Combine like terms: 11v + -11v = 0 -14 + -9v = -8 + 0 -14 + -9v = -8 Add '14' to each side of the equation. -14 + 14 + -9v = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -9v = -8 + 14 -9v = -8 + 14 Combine like terms: -8 + 14 = 6 -9v = 6 Divide each side by '-9'. v = -0.6666666667 Simplifying v = -0.6666666667
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