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Simplifying -4 + -2v + 8 = 6 + -6 + -9x + 6v Reorder the terms: -4 + 8 + -2v = 6 + -6 + -9x + 6v Combine like terms: -4 + 8 = 4 4 + -2v = 6 + -6 + -9x + 6v Reorder the terms: 4 + -2v = 6 + -6 + 6v + -9x Combine like terms: 6 + -6 = 0 4 + -2v = 0 + 6v + -9x 4 + -2v = 6v + -9x Solving 4 + -2v = 6v + -9x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 4 + -2v + -6v = 6v + -6v + -9x Combine like terms: -2v + -6v = -8v 4 + -8v = 6v + -6v + -9x Combine like terms: 6v + -6v = 0 4 + -8v = 0 + -9x 4 + -8v = -9x Add '-4' to each side of the equation. 4 + -4 + -8v = -4 + -9x Combine like terms: 4 + -4 = 0 0 + -8v = -4 + -9x -8v = -4 + -9x Divide each side by '-8'. v = 0.5 + 1.125x Simplifying v = 0.5 + 1.125x
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