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Simplifying 8(3 + v) + 35v = 12v (3 * 8 + v * 8) + 35v = 12v (24 + 8v) + 35v = 12v Combine like terms: 8v + 35v = 43v 24 + 43v = 12v Solving 24 + 43v = 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. 24 + 43v + -12v = 12v + -12v Combine like terms: 43v + -12v = 31v 24 + 31v = 12v + -12v Combine like terms: 12v + -12v = 0 24 + 31v = 0 Add '-24' to each side of the equation. 24 + -24 + 31v = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 31v = 0 + -24 31v = 0 + -24 Combine like terms: 0 + -24 = -24 31v = -24 Divide each side by '31'. v = -0.7741935484 Simplifying v = -0.7741935484
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