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Simplifying -9(v + 2) + 2V + 6 = 7v + 9 Reorder the terms: -9(2 + v) + 2V + 6 = 7v + 9 (2 * -9 + v * -9) + 2V + 6 = 7v + 9 (-18 + -9v) + 2V + 6 = 7v + 9 Reorder the terms: -18 + 6 + 2V + -9v = 7v + 9 Combine like terms: -18 + 6 = -12 -12 + 2V + -9v = 7v + 9 Reorder the terms: -12 + 2V + -9v = 9 + 7v Solving -12 + 2V + -9v = 9 + 7v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2V + 12 + -9v = 9 + 12 + 7v Reorder the terms: -12 + 12 + 2V + -9v = 9 + 12 + 7v Combine like terms: -12 + 12 = 0 0 + 2V + -9v = 9 + 12 + 7v 2V + -9v = 9 + 12 + 7v Combine like terms: 9 + 12 = 21 2V + -9v = 21 + 7v Add '9v' to each side of the equation. 2V + -9v + 9v = 21 + 7v + 9v Combine like terms: -9v + 9v = 0 2V + 0 = 21 + 7v + 9v 2V = 21 + 7v + 9v Combine like terms: 7v + 9v = 16v 2V = 21 + 16v Divide each side by '2'. V = 10.5 + 8v Simplifying V = 10.5 + 8v
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