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Simplifying 39 = 3(v + 3) + -8v Reorder the terms: 39 = 3(3 + v) + -8v 39 = (3 * 3 + v * 3) + -8v 39 = (9 + 3v) + -8v Combine like terms: 3v + -8v = -5v 39 = 9 + -5v Solving 39 = 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. 39 + 5v = 9 + -5v + 5v Combine like terms: -5v + 5v = 0 39 + 5v = 9 + 0 39 + 5v = 9 Add '-39' to each side of the equation. 39 + -39 + 5v = 9 + -39 Combine like terms: 39 + -39 = 0 0 + 5v = 9 + -39 5v = 9 + -39 Combine like terms: 9 + -39 = -30 5v = -30 Divide each side by '5'. v = -6 Simplifying v = -6
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