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Simplifying -4 + -2v + 8 = 6 + -6 + -9v + -6v Reorder the terms: -4 + 8 + -2v = 6 + -6 + -9v + -6v Combine like terms: -4 + 8 = 4 4 + -2v = 6 + -6 + -9v + -6v Combine like terms: 6 + -6 = 0 4 + -2v = 0 + -9v + -6v 4 + -2v = -9v + -6v Combine like terms: -9v + -6v = -15v 4 + -2v = -15v Solving 4 + -2v = -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 4 + -2v + 15v = -15v + 15v Combine like terms: -2v + 15v = 13v 4 + 13v = -15v + 15v Combine like terms: -15v + 15v = 0 4 + 13v = 0 Add '-4' to each side of the equation. 4 + -4 + 13v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13v = 0 + -4 13v = 0 + -4 Combine like terms: 0 + -4 = -4 13v = -4 Divide each side by '13'. v = -0.3076923077 Simplifying v = -0.3076923077
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