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Simplifying 2 + 2(4v + -1) = -2(7v + -2) + 8 Reorder the terms: 2 + 2(-1 + 4v) = -2(7v + -2) + 8 2 + (-1 * 2 + 4v * 2) = -2(7v + -2) + 8 2 + (-2 + 8v) = -2(7v + -2) + 8 Combine like terms: 2 + -2 = 0 0 + 8v = -2(7v + -2) + 8 8v = -2(7v + -2) + 8 Reorder the terms: 8v = -2(-2 + 7v) + 8 8v = (-2 * -2 + 7v * -2) + 8 8v = (4 + -14v) + 8 Reorder the terms: 8v = 4 + 8 + -14v Combine like terms: 4 + 8 = 12 8v = 12 + -14v Solving 8v = 12 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 8v + 14v = 12 + -14v + 14v Combine like terms: 8v + 14v = 22v 22v = 12 + -14v + 14v Combine like terms: -14v + 14v = 0 22v = 12 + 0 22v = 12 Divide each side by '22'. v = 0.5454545455 Simplifying v = 0.5454545455
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