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Simplifying -1(-4 + -2v) = 8v + 40 (-4 * -1 + -2v * -1) = 8v + 40 (4 + 2v) = 8v + 40 Reorder the terms: 4 + 2v = 40 + 8v Solving 4 + 2v = 40 + 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. 4 + 2v + -8v = 40 + 8v + -8v Combine like terms: 2v + -8v = -6v 4 + -6v = 40 + 8v + -8v Combine like terms: 8v + -8v = 0 4 + -6v = 40 + 0 4 + -6v = 40 Add '-4' to each side of the equation. 4 + -4 + -6v = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -6v = 40 + -4 -6v = 40 + -4 Combine like terms: 40 + -4 = 36 -6v = 36 Divide each side by '-6'. v = -6 Simplifying v = -6
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