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Simplifying -4(v + -2) = v + -4(v + -8) + -8v Reorder the terms: -4(-2 + v) = v + -4(v + -8) + -8v (-2 * -4 + v * -4) = v + -4(v + -8) + -8v (8 + -4v) = v + -4(v + -8) + -8v Reorder the terms: 8 + -4v = v + -4(-8 + v) + -8v 8 + -4v = v + (-8 * -4 + v * -4) + -8v 8 + -4v = v + (32 + -4v) + -8v Reorder the terms: 8 + -4v = 32 + v + -4v + -8v Combine like terms: v + -4v = -3v 8 + -4v = 32 + -3v + -8v Combine like terms: -3v + -8v = -11v 8 + -4v = 32 + -11v Solving 8 + -4v = 32 + -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. 8 + -4v + 11v = 32 + -11v + 11v Combine like terms: -4v + 11v = 7v 8 + 7v = 32 + -11v + 11v Combine like terms: -11v + 11v = 0 8 + 7v = 32 + 0 8 + 7v = 32 Add '-8' to each side of the equation. 8 + -8 + 7v = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 7v = 32 + -8 7v = 32 + -8 Combine like terms: 32 + -8 = 24 7v = 24 Divide each side by '7'. v = 3.428571429 Simplifying v = 3.428571429
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