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Simplifying 3(2 + 5v) = -6(-1 + -2v) (2 * 3 + 5v * 3) = -6(-1 + -2v) (6 + 15v) = -6(-1 + -2v) 6 + 15v = (-1 * -6 + -2v * -6) 6 + 15v = (6 + 12v) Add '-6' to each side of the equation. 6 + -6 + 15v = 6 + -6 + 12v Combine like terms: 6 + -6 = 0 0 + 15v = 6 + -6 + 12v 15v = 6 + -6 + 12v Combine like terms: 6 + -6 = 0 15v = 0 + 12v 15v = 12v Solving 15v = 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. 15v + -12v = 12v + -12v Combine like terms: 15v + -12v = 3v 3v = 12v + -12v Combine like terms: 12v + -12v = 0 3v = 0 Divide each side by '3'. v = 0 Simplifying v = 0
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