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Simplifying -39 = 8(v + -3) + -5v Reorder the terms: -39 = 8(-3 + v) + -5v -39 = (-3 * 8 + v * 8) + -5v -39 = (-24 + 8v) + -5v Combine like terms: 8v + -5v = 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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