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Simplifying 5(v + -5) + -8v = -31 Reorder the terms: 5(-5 + v) + -8v = -31 (-5 * 5 + v * 5) + -8v = -31 (-25 + 5v) + -8v = -31 Combine like terms: 5v + -8v = -3v -25 + -3v = -31 Solving -25 + -3v = -31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -3v = -31 + 25 Combine like terms: -25 + 25 = 0 0 + -3v = -31 + 25 -3v = -31 + 25 Combine like terms: -31 + 25 = -6 -3v = -6 Divide each side by '-3'. v = 2 Simplifying v = 2
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