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Simplifying 3 + 4v = -4(3v + -6) Reorder the terms: 3 + 4v = -4(-6 + 3v) 3 + 4v = (-6 * -4 + 3v * -4) 3 + 4v = (24 + -12v) Solving 3 + 4v = 24 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 3 + 4v + 12v = 24 + -12v + 12v Combine like terms: 4v + 12v = 16v 3 + 16v = 24 + -12v + 12v Combine like terms: -12v + 12v = 0 3 + 16v = 24 + 0 3 + 16v = 24 Add '-3' to each side of the equation. 3 + -3 + 16v = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 16v = 24 + -3 16v = 24 + -3 Combine like terms: 24 + -3 = 21 16v = 21 Divide each side by '16'. v = 1.3125 Simplifying v = 1.3125
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