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Simplifying 35 = -1(1 + 8v) + -4v 35 = (1 * -1 + 8v * -1) + -4v 35 = (-1 + -8v) + -4v Combine like terms: -8v + -4v = -12v 35 = -1 + -12v Solving 35 = -1 + -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. 35 + 12v = -1 + -12v + 12v Combine like terms: -12v + 12v = 0 35 + 12v = -1 + 0 35 + 12v = -1 Add '-35' to each side of the equation. 35 + -35 + 12v = -1 + -35 Combine like terms: 35 + -35 = 0 0 + 12v = -1 + -35 12v = -1 + -35 Combine like terms: -1 + -35 = -36 12v = -36 Divide each side by '12'. v = -3 Simplifying v = -3
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