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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 = 27 27 + -12v = -8v + 19 Reorder the terms: 27 + -12v = 19 + -8v Solving 27 + -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. 27 + -12v + 8v = 19 + -8v + 8v Combine like terms: -12v + 8v = -4v 27 + -4v = 19 + -8v + 8v Combine like terms: -8v + 8v = 0 27 + -4v = 19 + 0 27 + -4v = 19 Add '-27' to each side of the equation. 27 + -27 + -4v = 19 + -27 Combine like terms: 27 + -27 = 0 0 + -4v = 19 + -27 -4v = 19 + -27 Combine like terms: 19 + -27 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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