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Simplifying -4(v + -2) = 4(v + -8) + -8r Reorder the terms: -4(-2 + v) = 4(v + -8) + -8r (-2 * -4 + v * -4) = 4(v + -8) + -8r (8 + -4v) = 4(v + -8) + -8r Reorder the terms: 8 + -4v = 4(-8 + v) + -8r 8 + -4v = (-8 * 4 + v * 4) + -8r 8 + -4v = (-32 + 4v) + -8r Reorder the terms: 8 + -4v = -32 + -8r + 4v Solving 8 + -4v = -32 + -8r + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 8 + -4v + -4v = -32 + -8r + 4v + -4v Combine like terms: -4v + -4v = -8v 8 + -8v = -32 + -8r + 4v + -4v Combine like terms: 4v + -4v = 0 8 + -8v = -32 + -8r + 0 8 + -8v = -32 + -8r Add '-8' to each side of the equation. 8 + -8 + -8v = -32 + -8 + -8r Combine like terms: 8 + -8 = 0 0 + -8v = -32 + -8 + -8r -8v = -32 + -8 + -8r Combine like terms: -32 + -8 = -40 -8v = -40 + -8r Divide each side by '-8'. v = 5 + r Simplifying v = 5 + r
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