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