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Simplifying 8 + 2(7v + -2) = -2(4v + -3) + 8v Reorder the terms: 8 + 2(-2 + 7v) = -2(4v + -3) + 8v 8 + (-2 * 2 + 7v * 2) = -2(4v + -3) + 8v 8 + (-4 + 14v) = -2(4v + -3) + 8v Combine like terms: 8 + -4 = 4 4 + 14v = -2(4v + -3) + 8v Reorder the terms: 4 + 14v = -2(-3 + 4v) + 8v 4 + 14v = (-3 * -2 + 4v * -2) + 8v 4 + 14v = (6 + -8v) + 8v Combine like terms: -8v + 8v = 0 4 + 14v = 6 + 0 4 + 14v = 6 Solving 4 + 14v = 6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14v = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 14v = 6 + -4 14v = 6 + -4 Combine like terms: 6 + -4 = 2 14v = 2 Divide each side by '14'. v = 0.1428571429 Simplifying v = 0.1428571429
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