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Simplifying 3(2v + -5) = 4v + 1 Reorder the terms: 3(-5 + 2v) = 4v + 1 (-5 * 3 + 2v * 3) = 4v + 1 (-15 + 6v) = 4v + 1 Reorder the terms: -15 + 6v = 1 + 4v Solving -15 + 6v = 1 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -15 + 6v + -4v = 1 + 4v + -4v Combine like terms: 6v + -4v = 2v -15 + 2v = 1 + 4v + -4v Combine like terms: 4v + -4v = 0 -15 + 2v = 1 + 0 -15 + 2v = 1 Add '15' to each side of the equation. -15 + 15 + 2v = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 2v = 1 + 15 2v = 1 + 15 Combine like terms: 1 + 15 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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