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Simplifying 19 + 4v = -2(6v + 7) Reorder the terms: 19 + 4v = -2(7 + 6v) 19 + 4v = (7 * -2 + 6v * -2) 19 + 4v = (-14 + -12v) Solving 19 + 4v = -14 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 19 + 4v + 12v = -14 + -12v + 12v Combine like terms: 4v + 12v = 16v 19 + 16v = -14 + -12v + 12v Combine like terms: -12v + 12v = 0 19 + 16v = -14 + 0 19 + 16v = -14 Add '-19' to each side of the equation. 19 + -19 + 16v = -14 + -19 Combine like terms: 19 + -19 = 0 0 + 16v = -14 + -19 16v = -14 + -19 Combine like terms: -14 + -19 = -33 16v = -33 Divide each side by '16'. v = -2.0625 Simplifying v = -2.0625
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