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Simplifying 6 = 7(v + -3) + -4V Reorder the terms: 6 = 7(-3 + v) + -4V 6 = (-3 * 7 + v * 7) + -4V 6 = (-21 + 7v) + -4V Reorder the terms: 6 = -21 + -4V + 7v Solving 6 = -21 + -4V + 7v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '4V' to each side of the equation. 6 + 4V = -21 + -4V + 4V + 7v Combine like terms: -4V + 4V = 0 6 + 4V = -21 + 0 + 7v 6 + 4V = -21 + 7v Add '-6' to each side of the equation. 6 + -6 + 4V = -21 + -6 + 7v Combine like terms: 6 + -6 = 0 0 + 4V = -21 + -6 + 7v 4V = -21 + -6 + 7v Combine like terms: -21 + -6 = -27 4V = -27 + 7v Divide each side by '4'. V = -6.75 + 1.75v Simplifying V = -6.75 + 1.75v
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