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Simplifying v = 3(v + 5) + -6v Reorder the terms: v = 3(5 + v) + -6v v = (5 * 3 + v * 3) + -6v v = (15 + 3v) + -6v Combine like terms: 3v + -6v = -3v v = 15 + -3v Solving v = 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. v + 3v = 15 + -3v + 3v Combine like terms: v + 3v = 4v 4v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 4v = 15 + 0 4v = 15 Divide each side by '4'. v = 3.75 Simplifying v = 3.75
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