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Simplifying 3(3v + v) + -15 = 5v + -2v + 5 Combine like terms: 3v + v = 4v 3(4v) + -15 = 5v + -2v + 5 Remove parenthesis around (4v) 3 * 4v + -15 = 5v + -2v + 5 Multiply 3 * 4 12v + -15 = 5v + -2v + 5 Reorder the terms: -15 + 12v = 5v + -2v + 5 Reorder the terms: -15 + 12v = 5 + 5v + -2v Combine like terms: 5v + -2v = 3v -15 + 12v = 5 + 3v Solving -15 + 12v = 5 + 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. -15 + 12v + -3v = 5 + 3v + -3v Combine like terms: 12v + -3v = 9v -15 + 9v = 5 + 3v + -3v Combine like terms: 3v + -3v = 0 -15 + 9v = 5 + 0 -15 + 9v = 5 Add '15' to each side of the equation. -15 + 15 + 9v = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 9v = 5 + 15 9v = 5 + 15 Combine like terms: 5 + 15 = 20 9v = 20 Divide each side by '9'. v = 2.222222222 Simplifying v = 2.222222222
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