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Simplifying 2(1 + 6v) + 8v = 2(7v + -8) (1 * 2 + 6v * 2) + 8v = 2(7v + -8) (2 + 12v) + 8v = 2(7v + -8) Combine like terms: 12v + 8v = 20v 2 + 20v = 2(7v + -8) Reorder the terms: 2 + 20v = 2(-8 + 7v) 2 + 20v = (-8 * 2 + 7v * 2) 2 + 20v = (-16 + 14v) Solving 2 + 20v = -16 + 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. 2 + 20v + -14v = -16 + 14v + -14v Combine like terms: 20v + -14v = 6v 2 + 6v = -16 + 14v + -14v Combine like terms: 14v + -14v = 0 2 + 6v = -16 + 0 2 + 6v = -16 Add '-2' to each side of the equation. 2 + -2 + 6v = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 6v = -16 + -2 6v = -16 + -2 Combine like terms: -16 + -2 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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