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Simplifying -1v + -19 = -3(1 + 3v) Reorder the terms: -19 + -1v = -3(1 + 3v) -19 + -1v = (1 * -3 + 3v * -3) -19 + -1v = (-3 + -9v) Solving -19 + -1v = -3 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -19 + -1v + 9v = -3 + -9v + 9v Combine like terms: -1v + 9v = 8v -19 + 8v = -3 + -9v + 9v Combine like terms: -9v + 9v = 0 -19 + 8v = -3 + 0 -19 + 8v = -3 Add '19' to each side of the equation. -19 + 19 + 8v = -3 + 19 Combine like terms: -19 + 19 = 0 0 + 8v = -3 + 19 8v = -3 + 19 Combine like terms: -3 + 19 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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