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Simplifying 11(v + 12) = 7(1 + -2v) Reorder the terms: 11(12 + v) = 7(1 + -2v) (12 * 11 + v * 11) = 7(1 + -2v) (132 + 11v) = 7(1 + -2v) 132 + 11v = (1 * 7 + -2v * 7) 132 + 11v = (7 + -14v) Solving 132 + 11v = 7 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 132 + 11v + 14v = 7 + -14v + 14v Combine like terms: 11v + 14v = 25v 132 + 25v = 7 + -14v + 14v Combine like terms: -14v + 14v = 0 132 + 25v = 7 + 0 132 + 25v = 7 Add '-132' to each side of the equation. 132 + -132 + 25v = 7 + -132 Combine like terms: 132 + -132 = 0 0 + 25v = 7 + -132 25v = 7 + -132 Combine like terms: 7 + -132 = -125 25v = -125 Divide each side by '25'. v = -5 Simplifying v = -5
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