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Simplifying -39 = 5(v + 5) + 3v Reorder the terms: -39 = 5(5 + v) + 3v -39 = (5 * 5 + v * 5) + 3v -39 = (25 + 5v) + 3v Combine like terms: 5v + 3v = 8v -39 = 25 + 8v Solving -39 = 25 + 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 = 25 + 8v + -8v Combine like terms: 8v + -8v = 0 -39 + -8v = 25 + 0 -39 + -8v = 25 Add '39' to each side of the equation. -39 + 39 + -8v = 25 + 39 Combine like terms: -39 + 39 = 0 0 + -8v = 25 + 39 -8v = 25 + 39 Combine like terms: 25 + 39 = 64 -8v = 64 Divide each side by '-8'. v = -8 Simplifying v = -8
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