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Simplifying -3(-4v + 3) = 8v + -9 Reorder the terms: -3(3 + -4v) = 8v + -9 (3 * -3 + -4v * -3) = 8v + -9 (-9 + 12v) = 8v + -9 Reorder the terms: -9 + 12v = -9 + 8v Add '9' to each side of the equation. -9 + 9 + 12v = -9 + 9 + 8v Combine like terms: -9 + 9 = 0 0 + 12v = -9 + 9 + 8v 12v = -9 + 9 + 8v Combine like terms: -9 + 9 = 0 12v = 0 + 8v 12v = 8v Solving 12v = 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. 12v + -8v = 8v + -8v Combine like terms: 12v + -8v = 4v 4v = 8v + -8v Combine like terms: 8v + -8v = 0 4v = 0 Divide each side by '4'. v = 0 Simplifying v = 0
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