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Simplifying 86 = -4 + -3(2 + -4v) 86 = -4 + (2 * -3 + -4v * -3) 86 = -4 + (-6 + 12v) Combine like terms: -4 + -6 = -10 86 = -10 + 12v Solving 86 = -10 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 86 + -12v = -10 + 12v + -12v Combine like terms: 12v + -12v = 0 86 + -12v = -10 + 0 86 + -12v = -10 Add '-86' to each side of the equation. 86 + -86 + -12v = -10 + -86 Combine like terms: 86 + -86 = 0 0 + -12v = -10 + -86 -12v = -10 + -86 Combine like terms: -10 + -86 = -96 -12v = -96 Divide each side by '-12'. v = 8 Simplifying v = 8
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