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