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Simplifying -19 = 3(v + -3) + -5v Reorder the terms: -19 = 3(-3 + v) + -5v -19 = (-3 * 3 + v * 3) + -5v -19 = (-9 + 3v) + -5v Combine like terms: 3v + -5v = -2v -19 = -9 + -2v Solving -19 = -9 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -19 + 2v = -9 + -2v + 2v Combine like terms: -2v + 2v = 0 -19 + 2v = -9 + 0 -19 + 2v = -9 Add '19' to each side of the equation. -19 + 19 + 2v = -9 + 19 Combine like terms: -19 + 19 = 0 0 + 2v = -9 + 19 2v = -9 + 19 Combine like terms: -9 + 19 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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