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Simplifying 6 + 9v + -2 = 7x + (-2v) Reorder the terms: 6 + -2 + 9v = 7x + (-2v) Combine like terms: 6 + -2 = 4 4 + 9v = 7x + (-2v) Reorder the terms: 4 + 9v = (-2v) + 7x Solving 4 + 9v = (-2v) + 7x 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 + 9v + (2v) = (-2v) + (2v) + 7x Combine like terms: 9v + (2v) = 11v 4 + 11v = (-2v) + (2v) + 7x Combine like terms: (-2v) + (2v) = 0 4 + 11v = 0 + 7x 4 + 11v = 7x Add '-4' to each side of the equation. 4 + -4 + 11v = -4 + 7x Combine like terms: 4 + -4 = 0 0 + 11v = -4 + 7x 11v = -4 + 7x Divide each side by '11'. v = -0.3636363636 + 0.6363636364x Simplifying v = -0.3636363636 + 0.6363636364x
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