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Simplifying 3(3v + -2) = 14 + 5v Reorder the terms: 3(-2 + 3v) = 14 + 5v (-2 * 3 + 3v * 3) = 14 + 5v (-6 + 9v) = 14 + 5v Solving -6 + 9v = 14 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -6 + 9v + -5v = 14 + 5v + -5v Combine like terms: 9v + -5v = 4v -6 + 4v = 14 + 5v + -5v Combine like terms: 5v + -5v = 0 -6 + 4v = 14 + 0 -6 + 4v = 14 Add '6' to each side of the equation. -6 + 6 + 4v = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 4v = 14 + 6 4v = 14 + 6 Combine like terms: 14 + 6 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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