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Simplifying 9 = 6(v + 1) + -1(2v + -9) Reorder the terms: 9 = 6(1 + v) + -1(2v + -9) 9 = (1 * 6 + v * 6) + -1(2v + -9) 9 = (6 + 6v) + -1(2v + -9) Reorder the terms: 9 = 6 + 6v + -1(-9 + 2v) 9 = 6 + 6v + (-9 * -1 + 2v * -1) 9 = 6 + 6v + (9 + -2v) Reorder the terms: 9 = 6 + 9 + 6v + -2v Combine like terms: 6 + 9 = 15 9 = 15 + 6v + -2v Combine like terms: 6v + -2v = 4v 9 = 15 + 4v Solving 9 = 15 + 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 = 15 + 4v + -4v Combine like terms: 4v + -4v = 0 9 + -4v = 15 + 0 9 + -4v = 15 Add '-9' to each side of the equation. 9 + -9 + -4v = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = 15 + -9 -4v = 15 + -9 Combine like terms: 15 + -9 = 6 -4v = 6 Divide each side by '-4'. v = -1.5 Simplifying v = -1.5
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