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Simplifying -39 + 3v = -3(7v + 5) Reorder the terms: -39 + 3v = -3(5 + 7v) -39 + 3v = (5 * -3 + 7v * -3) -39 + 3v = (-15 + -21v) Solving -39 + 3v = -15 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. -39 + 3v + 21v = -15 + -21v + 21v Combine like terms: 3v + 21v = 24v -39 + 24v = -15 + -21v + 21v Combine like terms: -21v + 21v = 0 -39 + 24v = -15 + 0 -39 + 24v = -15 Add '39' to each side of the equation. -39 + 39 + 24v = -15 + 39 Combine like terms: -39 + 39 = 0 0 + 24v = -15 + 39 24v = -15 + 39 Combine like terms: -15 + 39 = 24 24v = 24 Divide each side by '24'. v = 1 Simplifying v = 1
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