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Simplifying -3(-4v + -2) = -1v + 19 Reorder the terms: -3(-2 + -4v) = -1v + 19 (-2 * -3 + -4v * -3) = -1v + 19 (6 + 12v) = -1v + 19 Reorder the terms: 6 + 12v = 19 + -1v Solving 6 + 12v = 19 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 6 + 12v + v = 19 + -1v + v Combine like terms: 12v + v = 13v 6 + 13v = 19 + -1v + v Combine like terms: -1v + v = 0 6 + 13v = 19 + 0 6 + 13v = 19 Add '-6' to each side of the equation. 6 + -6 + 13v = 19 + -6 Combine like terms: 6 + -6 = 0 0 + 13v = 19 + -6 13v = 19 + -6 Combine like terms: 19 + -6 = 13 13v = 13 Divide each side by '13'. v = 1 Simplifying v = 1
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