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Simplifying -4(v + -2) = 4(v + -8) + -81 Reorder the terms: -4(-2 + v) = 4(v + -8) + -81 (-2 * -4 + v * -4) = 4(v + -8) + -81 (8 + -4v) = 4(v + -8) + -81 Reorder the terms: 8 + -4v = 4(-8 + v) + -81 8 + -4v = (-8 * 4 + v * 4) + -81 8 + -4v = (-32 + 4v) + -81 Reorder the terms: 8 + -4v = -32 + -81 + 4v Combine like terms: -32 + -81 = -113 8 + -4v = -113 + 4v Solving 8 + -4v = -113 + 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 = -113 + 4v + -4v Combine like terms: -4v + -4v = -8v 8 + -8v = -113 + 4v + -4v Combine like terms: 4v + -4v = 0 8 + -8v = -113 + 0 8 + -8v = -113 Add '-8' to each side of the equation. 8 + -8 + -8v = -113 + -8 Combine like terms: 8 + -8 = 0 0 + -8v = -113 + -8 -8v = -113 + -8 Combine like terms: -113 + -8 = -121 -8v = -121 Divide each side by '-8'. v = 15.125 Simplifying v = 15.125
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