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Simplifying -3(v + -2) = -34 + -8v Reorder the terms: -3(-2 + v) = -34 + -8v (-2 * -3 + v * -3) = -34 + -8v (6 + -3v) = -34 + -8v Solving 6 + -3v = -34 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 6 + -3v + 8v = -34 + -8v + 8v Combine like terms: -3v + 8v = 5v 6 + 5v = -34 + -8v + 8v Combine like terms: -8v + 8v = 0 6 + 5v = -34 + 0 6 + 5v = -34 Add '-6' to each side of the equation. 6 + -6 + 5v = -34 + -6 Combine like terms: 6 + -6 = 0 0 + 5v = -34 + -6 5v = -34 + -6 Combine like terms: -34 + -6 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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