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Simplifying -39 = -6v + 3(v + -8) Reorder the terms: -39 = -6v + 3(-8 + v) -39 = -6v + (-8 * 3 + v * 3) -39 = -6v + (-24 + 3v) Reorder the terms: -39 = -24 + -6v + 3v Combine like terms: -6v + 3v = -3v -39 = -24 + -3v Solving -39 = -24 + -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. -39 + 3v = -24 + -3v + 3v Combine like terms: -3v + 3v = 0 -39 + 3v = -24 + 0 -39 + 3v = -24 Add '39' to each side of the equation. -39 + 39 + 3v = -24 + 39 Combine like terms: -39 + 39 = 0 0 + 3v = -24 + 39 3v = -24 + 39 Combine like terms: -24 + 39 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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