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Simplifying -12(2 + -1v) + 3 = -8v + 19 (2 * -12 + -1v * -12) + 3 = -8v + 19 (-24 + 12v) + 3 = -8v + 19 Reorder the terms: -24 + 3 + 12v = -8v + 19 Combine like terms: -24 + 3 = -21 -21 + 12v = -8v + 19 Reorder the terms: -21 + 12v = 19 + -8v Solving -21 + 12v = 19 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -21 + 12v + 8v = 19 + -8v + 8v Combine like terms: 12v + 8v = 20v -21 + 20v = 19 + -8v + 8v Combine like terms: -8v + 8v = 0 -21 + 20v = 19 + 0 -21 + 20v = 19 Add '21' to each side of the equation. -21 + 21 + 20v = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 20v = 19 + 21 20v = 19 + 21 Combine like terms: 19 + 21 = 40 20v = 40 Divide each side by '20'. v = 2 Simplifying v = 2
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