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Simplifying -31 + -5v = -8(v + 5) Reorder the terms: -31 + -5v = -8(5 + v) -31 + -5v = (5 * -8 + v * -8) -31 + -5v = (-40 + -8v) Solving -31 + -5v = -40 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -31 + -5v + 8v = -40 + -8v + 8v Combine like terms: -5v + 8v = 3v -31 + 3v = -40 + -8v + 8v Combine like terms: -8v + 8v = 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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