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Simplifying -6 + 3v = -1(v + 5) + 3v Reorder the terms: -6 + 3v = -1(5 + v) + 3v -6 + 3v = (5 * -1 + v * -1) + 3v -6 + 3v = (-5 + -1v) + 3v Combine like terms: -1v + 3v = 2v -6 + 3v = -5 + 2v Solving -6 + 3v = -5 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -6 + 3v + -2v = -5 + 2v + -2v Combine like terms: 3v + -2v = 1v -6 + 1v = -5 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + 1v = -5 + 0 -6 + 1v = -5 Add '6' to each side of the equation. -6 + 6 + 1v = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 1v = -5 + 6 1v = -5 + 6 Combine like terms: -5 + 6 = 1 1v = 1 Divide each side by '1'. v = 1 Simplifying v = 1
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