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Simplifying -39 = 3(v + 3) + 5v Reorder the terms: -39 = 3(3 + v) + 5v -39 = (3 * 3 + v * 3) + 5v -39 = (9 + 3v) + 5v Combine like terms: 3v + 5v = 8v -39 = 9 + 8v Solving -39 = 9 + 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. -39 + -8v = 9 + 8v + -8v Combine like terms: 8v + -8v = 0 -39 + -8v = 9 + 0 -39 + -8v = 9 Add '39' to each side of the equation. -39 + 39 + -8v = 9 + 39 Combine like terms: -39 + 39 = 0 0 + -8v = 9 + 39 -8v = 9 + 39 Combine like terms: 9 + 39 = 48 -8v = 48 Divide each side by '-8'. v = -6 Simplifying v = -6
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