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Simplifying 3(v + -5) = -2v + 25 Reorder the terms: 3(-5 + v) = -2v + 25 (-5 * 3 + v * 3) = -2v + 25 (-15 + 3v) = -2v + 25 Reorder the terms: -15 + 3v = 25 + -2v Solving -15 + 3v = 25 + -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. -15 + 3v + 2v = 25 + -2v + 2v Combine like terms: 3v + 2v = 5v -15 + 5v = 25 + -2v + 2v Combine like terms: -2v + 2v = 0 -15 + 5v = 25 + 0 -15 + 5v = 25 Add '15' to each side of the equation. -15 + 15 + 5v = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 5v = 25 + 15 5v = 25 + 15 Combine like terms: 25 + 15 = 40 5v = 40 Divide each side by '5'. v = 8 Simplifying v = 8
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