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Simplifying 4v + 4 + 4 = -2(v + 6) + 9 Reorder the terms: 4 + 4 + 4v = -2(v + 6) + 9 Combine like terms: 4 + 4 = 8 8 + 4v = -2(v + 6) + 9 Reorder the terms: 8 + 4v = -2(6 + v) + 9 8 + 4v = (6 * -2 + v * -2) + 9 8 + 4v = (-12 + -2v) + 9 Reorder the terms: 8 + 4v = -12 + 9 + -2v Combine like terms: -12 + 9 = -3 8 + 4v = -3 + -2v Solving 8 + 4v = -3 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 8 + 4v + 2v = -3 + -2v + 2v Combine like terms: 4v + 2v = 6v 8 + 6v = -3 + -2v + 2v Combine like terms: -2v + 2v = 0 8 + 6v = -3 + 0 8 + 6v = -3 Add '-8' to each side of the equation. 8 + -8 + 6v = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = -3 + -8 6v = -3 + -8 Combine like terms: -3 + -8 = -11 6v = -11 Divide each side by '6'. v = -1.833333333 Simplifying v = -1.833333333
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