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Simplifying -19 + 3v = -1(6v + 1) Reorder the terms: -19 + 3v = -1(1 + 6v) -19 + 3v = (1 * -1 + 6v * -1) -19 + 3v = (-1 + -6v) Solving -19 + 3v = -1 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -19 + 3v + 6v = -1 + -6v + 6v Combine like terms: 3v + 6v = 9v -19 + 9v = -1 + -6v + 6v Combine like terms: -6v + 6v = 0 -19 + 9v = -1 + 0 -19 + 9v = -1 Add '19' to each side of the equation. -19 + 19 + 9v = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 9v = -1 + 19 9v = -1 + 19 Combine like terms: -1 + 19 = 18 9v = 18 Divide each side by '9'. v = 2 Simplifying v = 2
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