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Simplifying 2(1 + 7v) = 8v + 20 (1 * 2 + 7v * 2) = 8v + 20 (2 + 14v) = 8v + 20 Reorder the terms: 2 + 14v = 20 + 8v Solving 2 + 14v = 20 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 2 + 14v + -8v = 20 + 8v + -8v Combine like terms: 14v + -8v = 6v 2 + 6v = 20 + 8v + -8v Combine like terms: 8v + -8v = 0 2 + 6v = 20 + 0 2 + 6v = 20 Add '-2' to each side of the equation. 2 + -2 + 6v = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 6v = 20 + -2 6v = 20 + -2 Combine like terms: 20 + -2 = 18 6v = 18 Divide each side by '6'. v = 3 Simplifying v = 3
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