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Simplifying -3(v + 5) + 5v = v Reorder the terms: -3(5 + v) + 5v = v (5 * -3 + v * -3) + 5v = v (-15 + -3v) + 5v = v Combine like terms: -3v + 5v = 2v -15 + 2v = v Solving -15 + 2v = v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -15 + 2v + -1v = v + -1v Combine like terms: 2v + -1v = 1v -15 + 1v = v + -1v Combine like terms: v + -1v = 0 -15 + 1v = 0 Add '15' to each side of the equation. -15 + 15 + 1v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1v = 0 + 15 1v = 0 + 15 Combine like terms: 0 + 15 = 15 1v = 15 Divide each side by '1'. v = 15 Simplifying v = 15
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