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Simplifying -3v + -31 = 2(v + -3) Reorder the terms: -31 + -3v = 2(v + -3) Reorder the terms: -31 + -3v = 2(-3 + v) -31 + -3v = (-3 * 2 + v * 2) -31 + -3v = (-6 + 2v) Solving -31 + -3v = -6 + 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 + -3v + -2v = -6 + 2v + -2v Combine like terms: -3v + -2v = -5v -31 + -5v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 -31 + -5v = -6 + 0 -31 + -5v = -6 Add '31' to each side of the equation. -31 + 31 + -5v = -6 + 31 Combine like terms: -31 + 31 = 0 0 + -5v = -6 + 31 -5v = -6 + 31 Combine like terms: -6 + 31 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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