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Simplifying 7(-1) = V + 5 + -4(-3v + -1) Multiply 7 * -1 -7 = V + 5 + -4(-3v + -1) Reorder the terms: -7 = V + 5 + -4(-1 + -3v) -7 = V + 5 + (-1 * -4 + -3v * -4) -7 = V + 5 + (4 + 12v) Reorder the terms: -7 = 5 + 4 + V + 12v Combine like terms: 5 + 4 = 9 -7 = 9 + V + 12v Solving -7 = 9 + V + 12v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-1V' to each side of the equation. -7 + -1V = 9 + V + -1V + 12v Combine like terms: V + -1V = 0 -7 + -1V = 9 + 0 + 12v -7 + -1V = 9 + 12v Add '7' to each side of the equation. -7 + 7 + -1V = 9 + 7 + 12v Combine like terms: -7 + 7 = 0 0 + -1V = 9 + 7 + 12v -1V = 9 + 7 + 12v Combine like terms: 9 + 7 = 16 -1V = 16 + 12v Divide each side by '-1'. V = -16 + -12v Simplifying V = -16 + -12v
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