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Simplifying -4(2 + 3v) = -1(8 + 6v) (2 * -4 + 3v * -4) = -1(8 + 6v) (-8 + -12v) = -1(8 + 6v) -8 + -12v = (8 * -1 + 6v * -1) -8 + -12v = (-8 + -6v) Add '8' to each side of the equation. -8 + 8 + -12v = -8 + 8 + -6v Combine like terms: -8 + 8 = 0 0 + -12v = -8 + 8 + -6v -12v = -8 + 8 + -6v Combine like terms: -8 + 8 = 0 -12v = 0 + -6v -12v = -6v Solving -12v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -12v + 6v = -6v + 6v Combine like terms: -12v + 6v = -6v -6v = -6v + 6v Combine like terms: -6v + 6v = 0 -6v = 0 Divide each side by '-6'. v = 0 Simplifying v = 0
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