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Simplifying 3(-2v + 19) = 1 + -20v Reorder the terms: 3(19 + -2v) = 1 + -20v (19 * 3 + -2v * 3) = 1 + -20v (57 + -6v) = 1 + -20v Solving 57 + -6v = 1 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 57 + -6v + 20v = 1 + -20v + 20v Combine like terms: -6v + 20v = 14v 57 + 14v = 1 + -20v + 20v Combine like terms: -20v + 20v = 0 57 + 14v = 1 + 0 57 + 14v = 1 Add '-57' to each side of the equation. 57 + -57 + 14v = 1 + -57 Combine like terms: 57 + -57 = 0 0 + 14v = 1 + -57 14v = 1 + -57 Combine like terms: 1 + -57 = -56 14v = -56 Divide each side by '14'. v = -4 Simplifying v = -4
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