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Simplifying 4x + 6 + 8v = 6x + -6 + 3x Reorder the terms: 6 + 8v + 4x = 6x + -6 + 3x Reorder the terms: 6 + 8v + 4x = -6 + 6x + 3x Combine like terms: 6x + 3x = 9x 6 + 8v + 4x = -6 + 9x Solving 6 + 8v + 4x = -6 + 9x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 8v + -6 + 4x = -6 + -6 + 9x Reorder the terms: 6 + -6 + 8v + 4x = -6 + -6 + 9x Combine like terms: 6 + -6 = 0 0 + 8v + 4x = -6 + -6 + 9x 8v + 4x = -6 + -6 + 9x Combine like terms: -6 + -6 = -12 8v + 4x = -12 + 9x Add '-4x' to each side of the equation. 8v + 4x + -4x = -12 + 9x + -4x Combine like terms: 4x + -4x = 0 8v + 0 = -12 + 9x + -4x 8v = -12 + 9x + -4x Combine like terms: 9x + -4x = 5x 8v = -12 + 5x Divide each side by '8'. v = -1.5 + 0.625x Simplifying v = -1.5 + 0.625x
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