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Simplifying -8v + 2(v + -4) = -31 Reorder the terms: -8v + 2(-4 + v) = -31 -8v + (-4 * 2 + v * 2) = -31 -8v + (-8 + 2v) = -31 Reorder the terms: -8 + -8v + 2v = -31 Combine like terms: -8v + 2v = -6v -8 + -6v = -31 Solving -8 + -6v = -31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6v = -31 + 8 Combine like terms: -8 + 8 = 0 0 + -6v = -31 + 8 -6v = -31 + 8 Combine like terms: -31 + 8 = -23 -6v = -23 Divide each side by '-6'. v = 3.833333333 Simplifying v = 3.833333333
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