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Simplifying 9 = 7(3 + -2v) + -6(4 + -3v) 9 = (3 * 7 + -2v * 7) + -6(4 + -3v) 9 = (21 + -14v) + -6(4 + -3v) 9 = 21 + -14v + (4 * -6 + -3v * -6) 9 = 21 + -14v + (-24 + 18v) Reorder the terms: 9 = 21 + -24 + -14v + 18v Combine like terms: 21 + -24 = -3 9 = -3 + -14v + 18v Combine like terms: -14v + 18v = 4v 9 = -3 + 4v Solving 9 = -3 + 4v 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. 9 + -4v = -3 + 4v + -4v Combine like terms: 4v + -4v = 0 9 + -4v = -3 + 0 9 + -4v = -3 Add '-9' to each side of the equation. 9 + -9 + -4v = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = -3 + -9 -4v = -3 + -9 Combine like terms: -3 + -9 = -12 -4v = -12 Divide each side by '-4'. v = 3 Simplifying v = 3
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