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Simplifying 7v + -31 = 5(v + -7) Reorder the terms: -31 + 7v = 5(v + -7) Reorder the terms: -31 + 7v = 5(-7 + v) -31 + 7v = (-7 * 5 + v * 5) -31 + 7v = (-35 + 5v) Solving -31 + 7v = -35 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -31 + 7v + -5v = -35 + 5v + -5v Combine like terms: 7v + -5v = 2v -31 + 2v = -35 + 5v + -5v Combine like terms: 5v + -5v = 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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