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Simplifying 3x + 2v + 8 = 2x Reorder the terms: 8 + 2v + 3x = 2x Solving 8 + 2v + 3x = 2x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2v + -8 + 3x = -8 + 2x Reorder the terms: 8 + -8 + 2v + 3x = -8 + 2x Combine like terms: 8 + -8 = 0 0 + 2v + 3x = -8 + 2x 2v + 3x = -8 + 2x Add '-3x' to each side of the equation. 2v + 3x + -3x = -8 + 2x + -3x Combine like terms: 3x + -3x = 0 2v + 0 = -8 + 2x + -3x 2v = -8 + 2x + -3x Combine like terms: 2x + -3x = -1x 2v = -8 + -1x Divide each side by '2'. v = -4 + -0.5x Simplifying v = -4 + -0.5x
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