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Simplifying -4(v + -2) = -4(v + -8) + -8v Reorder the terms: -4(-2 + v) = -4(v + -8) + -8v (-2 * -4 + v * -4) = -4(v + -8) + -8v (8 + -4v) = -4(v + -8) + -8v Reorder the terms: 8 + -4v = -4(-8 + v) + -8v 8 + -4v = (-8 * -4 + v * -4) + -8v 8 + -4v = (32 + -4v) + -8v Combine like terms: -4v + -8v = -12v 8 + -4v = 32 + -12v Solving 8 + -4v = 32 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 8 + -4v + 12v = 32 + -12v + 12v Combine like terms: -4v + 12v = 8v 8 + 8v = 32 + -12v + 12v Combine like terms: -12v + 12v = 0 8 + 8v = 32 + 0 8 + 8v = 32 Add '-8' to each side of the equation. 8 + -8 + 8v = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8v = 32 + -8 8v = 32 + -8 Combine like terms: 32 + -8 = 24 8v = 24 Divide each side by '8'. v = 3 Simplifying v = 3
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