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Simplifying -31 = -3v + 5(v + -7) Reorder the terms: -31 = -3v + 5(-7 + v) -31 = -3v + (-7 * 5 + v * 5) -31 = -3v + (-35 + 5v) Reorder the terms: -31 = -35 + -3v + 5v Combine like terms: -3v + 5v = 2v -31 = -35 + 2v Solving -31 = -35 + 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 = -35 + 2v + -2v Combine like terms: 2v + -2v = 0 -31 + -2v = -35 + 0 -31 + -2v = -35 Add '31' to each side of the equation. -31 + 31 + -2v = -35 + 31 Combine like terms: -31 + 31 = 0 0 + -2v = -35 + 31 -2v = -35 + 31 Combine like terms: -35 + 31 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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