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Simplifying 5(v + -2) + -2v = -31 Reorder the terms: 5(-2 + v) + -2v = -31 (-2 * 5 + v * 5) + -2v = -31 (-10 + 5v) + -2v = -31 Combine like terms: 5v + -2v = 3v -10 + 3v = -31 Solving -10 + 3v = -31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3v = -31 + 10 Combine like terms: -10 + 10 = 0 0 + 3v = -31 + 10 3v = -31 + 10 Combine like terms: -31 + 10 = -21 3v = -21 Divide each side by '3'. v = -7 Simplifying v = -7
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