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