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Simplifying 4v + 4 + v = -2(v + 6) + 9 Reorder the terms: 4 + 4v + v = -2(v + 6) + 9 Combine like terms: 4v + v = 5v 4 + 5v = -2(v + 6) + 9 Reorder the terms: 4 + 5v = -2(6 + v) + 9 4 + 5v = (6 * -2 + v * -2) + 9 4 + 5v = (-12 + -2v) + 9 Reorder the terms: 4 + 5v = -12 + 9 + -2v Combine like terms: -12 + 9 = -3 4 + 5v = -3 + -2v Solving 4 + 5v = -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. 4 + 5v + 2v = -3 + -2v + 2v Combine like terms: 5v + 2v = 7v 4 + 7v = -3 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + 7v = -3 + 0 4 + 7v = -3 Add '-4' to each side of the equation. 4 + -4 + 7v = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 7v = -3 + -4 7v = -3 + -4 Combine like terms: -3 + -4 = -7 7v = -7 Divide each side by '7'. v = -1 Simplifying v = -1
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