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Simplifying 6v + 2(10 + 8v) = 6(1 + 6v) 6v + (10 * 2 + 8v * 2) = 6(1 + 6v) 6v + (20 + 16v) = 6(1 + 6v) Reorder the terms: 20 + 6v + 16v = 6(1 + 6v) Combine like terms: 6v + 16v = 22v 20 + 22v = 6(1 + 6v) 20 + 22v = (1 * 6 + 6v * 6) 20 + 22v = (6 + 36v) Solving 20 + 22v = 6 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. 20 + 22v + -36v = 6 + 36v + -36v Combine like terms: 22v + -36v = -14v 20 + -14v = 6 + 36v + -36v Combine like terms: 36v + -36v = 0 20 + -14v = 6 + 0 20 + -14v = 6 Add '-20' to each side of the equation. 20 + -20 + -14v = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -14v = 6 + -20 -14v = 6 + -20 Combine like terms: 6 + -20 = -14 -14v = -14 Divide each side by '-14'. v = 1 Simplifying v = 1
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