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Simplifying 9 + 2(v + 1) = -4(v + 2) Reorder the terms: 9 + 2(1 + v) = -4(v + 2) 9 + (1 * 2 + v * 2) = -4(v + 2) 9 + (2 + 2v) = -4(v + 2) Combine like terms: 9 + 2 = 11 11 + 2v = -4(v + 2) Reorder the terms: 11 + 2v = -4(2 + v) 11 + 2v = (2 * -4 + v * -4) 11 + 2v = (-8 + -4v) Solving 11 + 2v = -8 + -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. 11 + 2v + 4v = -8 + -4v + 4v Combine like terms: 2v + 4v = 6v 11 + 6v = -8 + -4v + 4v Combine like terms: -4v + 4v = 0 11 + 6v = -8 + 0 11 + 6v = -8 Add '-11' to each side of the equation. 11 + -11 + 6v = -8 + -11 Combine like terms: 11 + -11 = 0 0 + 6v = -8 + -11 6v = -8 + -11 Combine like terms: -8 + -11 = -19 6v = -19 Divide each side by '6'. v = -3.166666667 Simplifying v = -3.166666667
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