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Simplifying 5v + -19 = -3(1 + -1v) Reorder the terms: -19 + 5v = -3(1 + -1v) -19 + 5v = (1 * -3 + -1v * -3) -19 + 5v = (-3 + 3v) Solving -19 + 5v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -19 + 5v + -3v = -3 + 3v + -3v Combine like terms: 5v + -3v = 2v -19 + 2v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 -19 + 2v = -3 + 0 -19 + 2v = -3 Add '19' to each side of the equation. -19 + 19 + 2v = -3 + 19 Combine like terms: -19 + 19 = 0 0 + 2v = -3 + 19 2v = -3 + 19 Combine like terms: -3 + 19 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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