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Simplifying -5 + -1v = -3(v + 5) Reorder the terms: -5 + -1v = -3(5 + v) -5 + -1v = (5 * -3 + v * -3) -5 + -1v = (-15 + -3v) Solving -5 + -1v = -15 + -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. -5 + -1v + 3v = -15 + -3v + 3v Combine like terms: -1v + 3v = 2v -5 + 2v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 -5 + 2v = -15 + 0 -5 + 2v = -15 Add '5' to each side of the equation. -5 + 5 + 2v = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 2v = -15 + 5 2v = -15 + 5 Combine like terms: -15 + 5 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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