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Simplifying 2v + -31 = 5(v + -8) Reorder the terms: -31 + 2v = 5(v + -8) Reorder the terms: -31 + 2v = 5(-8 + v) -31 + 2v = (-8 * 5 + v * 5) -31 + 2v = (-40 + 5v) Solving -31 + 2v = -40 + 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 + 2v + -5v = -40 + 5v + -5v Combine like terms: 2v + -5v = -3v -31 + -3v = -40 + 5v + -5v Combine like terms: 5v + -5v = 0 -31 + -3v = -40 + 0 -31 + -3v = -40 Add '31' to each side of the equation. -31 + 31 + -3v = -40 + 31 Combine like terms: -31 + 31 = 0 0 + -3v = -40 + 31 -3v = -40 + 31 Combine like terms: -40 + 31 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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