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Simplifying 3(3v + 7) + 7v = -39 + -4v Reorder the terms: 3(7 + 3v) + 7v = -39 + -4v (7 * 3 + 3v * 3) + 7v = -39 + -4v (21 + 9v) + 7v = -39 + -4v Combine like terms: 9v + 7v = 16v 21 + 16v = -39 + -4v Solving 21 + 16v = -39 + -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. 21 + 16v + 4v = -39 + -4v + 4v Combine like terms: 16v + 4v = 20v 21 + 20v = -39 + -4v + 4v Combine like terms: -4v + 4v = 0 21 + 20v = -39 + 0 21 + 20v = -39 Add '-21' to each side of the equation. 21 + -21 + 20v = -39 + -21 Combine like terms: 21 + -21 = 0 0 + 20v = -39 + -21 20v = -39 + -21 Combine like terms: -39 + -21 = -60 20v = -60 Divide each side by '20'. v = -3 Simplifying v = -3
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