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Simplifying 35 + -8v = 4(v + -1) + 13 Reorder the terms: 35 + -8v = 4(-1 + v) + 13 35 + -8v = (-1 * 4 + v * 4) + 13 35 + -8v = (-4 + 4v) + 13 Reorder the terms: 35 + -8v = -4 + 13 + 4v Combine like terms: -4 + 13 = 9 35 + -8v = 9 + 4v Solving 35 + -8v = 9 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 35 + -8v + -4v = 9 + 4v + -4v Combine like terms: -8v + -4v = -12v 35 + -12v = 9 + 4v + -4v Combine like terms: 4v + -4v = 0 35 + -12v = 9 + 0 35 + -12v = 9 Add '-35' to each side of the equation. 35 + -35 + -12v = 9 + -35 Combine like terms: 35 + -35 = 0 0 + -12v = 9 + -35 -12v = 9 + -35 Combine like terms: 9 + -35 = -26 -12v = -26 Divide each side by '-12'. v = 2.166666667 Simplifying v = 2.166666667
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