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Simplifying 11 + 9(2 + -1v) = -7 + 3(12 + 3v) 11 + (2 * 9 + -1v * 9) = -7 + 3(12 + 3v) 11 + (18 + -9v) = -7 + 3(12 + 3v) Combine like terms: 11 + 18 = 29 29 + -9v = -7 + 3(12 + 3v) 29 + -9v = -7 + (12 * 3 + 3v * 3) 29 + -9v = -7 + (36 + 9v) Combine like terms: -7 + 36 = 29 29 + -9v = 29 + 9v Add '-29' to each side of the equation. 29 + -29 + -9v = 29 + -29 + 9v Combine like terms: 29 + -29 = 0 0 + -9v = 29 + -29 + 9v -9v = 29 + -29 + 9v Combine like terms: 29 + -29 = 0 -9v = 0 + 9v -9v = 9v Solving -9v = 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. -9v + -9v = 9v + -9v Combine like terms: -9v + -9v = -18v -18v = 9v + -9v Combine like terms: 9v + -9v = 0 -18v = 0 Divide each side by '-18'. v = 0 Simplifying v = 0

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