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Simplifying 19v = -7(-3v + 2) + -20 Reorder the terms: 19v = -7(2 + -3v) + -20 19v = (2 * -7 + -3v * -7) + -20 19v = (-14 + 21v) + -20 Reorder the terms: 19v = -14 + -20 + 21v Combine like terms: -14 + -20 = -34 19v = -34 + 21v Solving 19v = -34 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. 19v + -21v = -34 + 21v + -21v Combine like terms: 19v + -21v = -2v -2v = -34 + 21v + -21v Combine like terms: 21v + -21v = 0 -2v = -34 + 0 -2v = -34 Divide each side by '-2'. v = 17 Simplifying v = 17
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