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