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Simplifying 81 = 3v + -6(6 + -6v) 81 = 3v + (6 * -6 + -6v * -6) 81 = 3v + (-36 + 36v) Reorder the terms: 81 = -36 + 3v + 36v Combine like terms: 3v + 36v = 39v 81 = -36 + 39v Solving 81 = -36 + 39v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-39v' to each side of the equation. 81 + -39v = -36 + 39v + -39v Combine like terms: 39v + -39v = 0 81 + -39v = -36 + 0 81 + -39v = -36 Add '-81' to each side of the equation. 81 + -81 + -39v = -36 + -81 Combine like terms: 81 + -81 = 0 0 + -39v = -36 + -81 -39v = -36 + -81 Combine like terms: -36 + -81 = -117 -39v = -117 Divide each side by '-39'. v = 3 Simplifying v = 3
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