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Simplifying -31 = -3 + 2(v + -5) Reorder the terms: -31 = -3 + 2(-5 + v) -31 = -3 + (-5 * 2 + v * 2) -31 = -3 + (-10 + 2v) Combine like terms: -3 + -10 = -13 -31 = -13 + 2v Solving -31 = -13 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -31 + -2v = -13 + 2v + -2v Combine like terms: 2v + -2v = 0 -31 + -2v = -13 + 0 -31 + -2v = -13 Add '31' to each side of the equation. -31 + 31 + -2v = -13 + 31 Combine like terms: -31 + 31 = 0 0 + -2v = -13 + 31 -2v = -13 + 31 Combine like terms: -13 + 31 = 18 -2v = 18 Divide each side by '-2'. v = -9 Simplifying v = -9
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