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Simplifying 9 = 3v + 6(v + -6) Reorder the terms: 9 = 3v + 6(-6 + v) 9 = 3v + (-6 * 6 + v * 6) 9 = 3v + (-36 + 6v) Reorder the terms: 9 = -36 + 3v + 6v Combine like terms: 3v + 6v = 9v 9 = -36 + 9v Solving 9 = -36 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 9 + -9v = -36 + 9v + -9v Combine like terms: 9v + -9v = 0 9 + -9v = -36 + 0 9 + -9v = -36 Add '-9' to each side of the equation. 9 + -9 + -9v = -36 + -9 Combine like terms: 9 + -9 = 0 0 + -9v = -36 + -9 -9v = -36 + -9 Combine like terms: -36 + -9 = -45 -9v = -45 Divide each side by '-9'. v = 5 Simplifying v = 5
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