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Simplifying -2(V + 4) = 6V + -6 + 4(2v + 3) Reorder the terms: -2(4 + V) = 6V + -6 + 4(2v + 3) (4 * -2 + V * -2) = 6V + -6 + 4(2v + 3) (-8 + -2V) = 6V + -6 + 4(2v + 3) Reorder the terms: -8 + -2V = 6V + -6 + 4(3 + 2v) -8 + -2V = 6V + -6 + (3 * 4 + 2v * 4) -8 + -2V = 6V + -6 + (12 + 8v) Reorder the terms: -8 + -2V = -6 + 12 + 6V + 8v Combine like terms: -6 + 12 = 6 -8 + -2V = 6 + 6V + 8v Solving -8 + -2V = 6 + 6V + 8v 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. -8 + -2V + -6V = 6 + 6V + -6V + 8v Combine like terms: -2V + -6V = -8V -8 + -8V = 6 + 6V + -6V + 8v Combine like terms: 6V + -6V = 0 -8 + -8V = 6 + 0 + 8v -8 + -8V = 6 + 8v Add '8' to each side of the equation. -8 + 8 + -8V = 6 + 8 + 8v Combine like terms: -8 + 8 = 0 0 + -8V = 6 + 8 + 8v -8V = 6 + 8 + 8v Combine like terms: 6 + 8 = 14 -8V = 14 + 8v Divide each side by '-8'. V = -1.75 + -1v Simplifying V = -1.75 + -1v
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