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Simplifying 4 + -3(4V + 3) = 4(2v + -6) + (-1) Reorder the terms: 4 + -3(3 + 4V) = 4(2v + -6) + (-1) 4 + (3 * -3 + 4V * -3) = 4(2v + -6) + (-1) 4 + (-9 + -12V) = 4(2v + -6) + (-1) Combine like terms: 4 + -9 = -5 -5 + -12V = 4(2v + -6) + (-1) Reorder the terms: -5 + -12V = 4(-6 + 2v) + (-1) -5 + -12V = (-6 * 4 + 2v * 4) + (-1) -5 + -12V = (-24 + 8v) + (-1) -5 + -12V = -24 + 8v + -1 Reorder the terms: -5 + -12V = -24 + -1 + 8v Combine like terms: -24 + -1 = -25 -5 + -12V = -25 + 8v Solving -5 + -12V = -25 + 8v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -12V = -25 + 5 + 8v Combine like terms: -5 + 5 = 0 0 + -12V = -25 + 5 + 8v -12V = -25 + 5 + 8v Combine like terms: -25 + 5 = -20 -12V = -20 + 8v Divide each side by '-12'. V = 1.666666667 + -0.6666666667v Simplifying V = 1.666666667 + -0.6666666667v
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