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Simplifying -5v + -31 = 3(v + -5) Reorder the terms: -31 + -5v = 3(v + -5) Reorder the terms: -31 + -5v = 3(-5 + v) -31 + -5v = (-5 * 3 + v * 3) -31 + -5v = (-15 + 3v) Solving -31 + -5v = -15 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -31 + -5v + -3v = -15 + 3v + -3v Combine like terms: -5v + -3v = -8v -31 + -8v = -15 + 3v + -3v Combine like terms: 3v + -3v = 0 -31 + -8v = -15 + 0 -31 + -8v = -15 Add '31' to each side of the equation. -31 + 31 + -8v = -15 + 31 Combine like terms: -31 + 31 = 0 0 + -8v = -15 + 31 -8v = -15 + 31 Combine like terms: -15 + 31 = 16 -8v = 16 Divide each side by '-8'. v = -2 Simplifying v = -2
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