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Simplifying 3v + -2(-1v + 7) = 2(1 + 3v) + 3v Reorder the terms: 3v + -2(7 + -1v) = 2(1 + 3v) + 3v 3v + (7 * -2 + -1v * -2) = 2(1 + 3v) + 3v 3v + (-14 + 2v) = 2(1 + 3v) + 3v Reorder the terms: -14 + 3v + 2v = 2(1 + 3v) + 3v Combine like terms: 3v + 2v = 5v -14 + 5v = 2(1 + 3v) + 3v -14 + 5v = (1 * 2 + 3v * 2) + 3v -14 + 5v = (2 + 6v) + 3v Combine like terms: 6v + 3v = 9v -14 + 5v = 2 + 9v Solving -14 + 5v = 2 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -14 + 5v + -9v = 2 + 9v + -9v Combine like terms: 5v + -9v = -4v -14 + -4v = 2 + 9v + -9v Combine like terms: 9v + -9v = 0 -14 + -4v = 2 + 0 -14 + -4v = 2 Add '14' to each side of the equation. -14 + 14 + -4v = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -4v = 2 + 14 -4v = 2 + 14 Combine like terms: 2 + 14 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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