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Simplifying -34 = 5(v + -2) + -8v Reorder the terms: -34 = 5(-2 + v) + -8v -34 = (-2 * 5 + v * 5) + -8v -34 = (-10 + 5v) + -8v Combine like terms: 5v + -8v = -3v -34 = -10 + -3v Solving -34 = -10 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -34 + 3v = -10 + -3v + 3v Combine like terms: -3v + 3v = 0 -34 + 3v = -10 + 0 -34 + 3v = -10 Add '34' to each side of the equation. -34 + 34 + 3v = -10 + 34 Combine like terms: -34 + 34 = 0 0 + 3v = -10 + 34 3v = -10 + 34 Combine like terms: -10 + 34 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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