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Simplifying -3v + 39 = -5(v + -7) Reorder the terms: 39 + -3v = -5(v + -7) Reorder the terms: 39 + -3v = -5(-7 + v) 39 + -3v = (-7 * -5 + v * -5) 39 + -3v = (35 + -5v) Solving 39 + -3v = 35 + -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 + -3v + 5v = 35 + -5v + 5v Combine like terms: -3v + 5v = 2v 39 + 2v = 35 + -5v + 5v Combine like terms: -5v + 5v = 0 39 + 2v = 35 + 0 39 + 2v = 35 Add '-39' to each side of the equation. 39 + -39 + 2v = 35 + -39 Combine like terms: 39 + -39 = 0 0 + 2v = 35 + -39 2v = 35 + -39 Combine like terms: 35 + -39 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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