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Simplifying 2(v + -8) + -6 = -4(-4v + 2) + -8v Reorder the terms: 2(-8 + v) + -6 = -4(-4v + 2) + -8v (-8 * 2 + v * 2) + -6 = -4(-4v + 2) + -8v (-16 + 2v) + -6 = -4(-4v + 2) + -8v Reorder the terms: -16 + -6 + 2v = -4(-4v + 2) + -8v Combine like terms: -16 + -6 = -22 -22 + 2v = -4(-4v + 2) + -8v Reorder the terms: -22 + 2v = -4(2 + -4v) + -8v -22 + 2v = (2 * -4 + -4v * -4) + -8v -22 + 2v = (-8 + 16v) + -8v Combine like terms: 16v + -8v = 8v -22 + 2v = -8 + 8v Solving -22 + 2v = -8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -22 + 2v + -8v = -8 + 8v + -8v Combine like terms: 2v + -8v = -6v -22 + -6v = -8 + 8v + -8v Combine like terms: 8v + -8v = 0 -22 + -6v = -8 + 0 -22 + -6v = -8 Add '22' to each side of the equation. -22 + 22 + -6v = -8 + 22 Combine like terms: -22 + 22 = 0 0 + -6v = -8 + 22 -6v = -8 + 22 Combine like terms: -8 + 22 = 14 -6v = 14 Divide each side by '-6'. v = -2.333333333 Simplifying v = -2.333333333
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